Question

the l.c.m of two coprimes is
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Answer 1

Answer:

The LCM of any 2 co-prime number is 1

Answer 2

Answer:

If two numbers, not necessarily prime, do not have any common factors (apart from 1), they are co-prime. Two different prime numbers are always co-prime, eg, 2 and 3. Two different non-prime numbers can also be co-prime, eg, 15 and 32.

step by step explation:

To the reasonably mathematically proficient person it should be immediately obvious that the LCM of two co-prime numbers will be the product of those numbers, ie, the result of multiplying them together. So for 2 and 3 the LCM will be 2 x 3 = 6 and for 14 and 33 the LCM will be 14 x 33 = 462. Looking at the last example in a little more detail it may become apparent why the ‘product of the pair’ rule produces their LCM. 14 = 2 x 7, so 2 and 7 must be factors of the LCM, and 33 = 3 x 11, so 3 and 11 must be factors of the LCM. It follows that the LOWEST common multiple must have as its factors ALL the factors of 14 and of 33, that is 2 x 7 x 3 x 11, ie, 462.

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