what_is_the_lowest_common_multiple_of_330_and_252

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13,860

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How do we know?

What is the smallest natural number divisible by both the integer 330 and the integer 252?

Facts
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Show reasoning
Reasoning

I followed this chain of reasoning:

By calculation (generator: ["now@trueknowledge.com"]) I know that:

The current time is April 20th 2014, 08:38:08

The current time is April 20th 2014, 08:38:08

By calculation (generator: ["first_parameter@trueknowledge.com"]) I know that:

330 is the first parameter of 330 and 252

330 is the first parameter of 330 and 252

By calculation (generator: ["pinstance@trueknowledge.com"]) I know that:

Fact 1: 330 is a integer

Fact 1: 330 is a integer

Fact 1
is true for
all time

By calculation (generator: ["second_parameter@trueknowledge.com"]) I know that:

252 is the second parameter of 330 and 252

252 is the second parameter of 330 and 252

By calculation (generator: ["pinstance@trueknowledge.com"]) I know that:

Fact 1: 252 is a integer

Fact 1: 252 is a integer

Fact 1
is true for
all time

By calculation (generator: ["prime_factors_no_repetition@trueknowledge.com"]) I know that:

2, 3, 5 and 11 is the prime factors with repetition of 330

2, 3, 5 and 11 is the prime factors with repetition of 330

2, 3, 5 and 11
is the prime factors of
330

2 × 3 × 5 × 11
is the prime factorisation of
330

2, 2, 3, 3 and 7
is the prime factors with repetition of
252

2, 3 and 7
is the prime factors of
252

2 × 2 × 3 × 3 × 7
is the prime factorisation of
252

By calculation (generator: ["product@trueknowledge.com"]) I know that:

13,860 is the product of 1, 2, 2, 3, 3, 5, 7 and 11

13,860 is the product of 1, 2, 2, 3, 3, 5, 7 and 11

6
is the product of
1, 2 and 3

By calculation (generator: ["lcm@trueknowledge.com"]) I know that:

Fact 3: 13,860 is the least common multiple of 330 and 252

Fact 3: 13,860 is the least common multiple of 330 and 252

By calculation (generator: ["perm5@trueknowledge.com"]) I know that:

Fact 3 is true for all time

Fact 3 is true for all time

By calculation (generator: ["timeperiodtopoint@trueknowledge.com"]) I know that:

Fact 3 is true at April 20th 2014, 08:38:08

Fact 3 is true at April 20th 2014, 08:38:08

By calculation (generator: ["lcm@trueknowledge.com"]) I know that:

Fact 3: 6 is the highest common factor of 330 and 252

Fact 3: 6 is the highest common factor of 330 and 252

I know from locally stored knowledge that:

permanent applies to is the least common multiple of ([fact: ["1098541150@trueknowledge.com"]])

permanent applies to is the least common multiple of ([fact: ["1098541150@trueknowledge.com"]])

I used the following facts to provide this answer:

'is the least common multiple of' is permanent

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- what is the lcm of 330 and 252