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What is the Least Common Multiple of 27636 and 27646?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 27636 and 27646 is 382012428.

LCM(27636,27646) = 382012428

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Least Common Multiple of 27636 and 27646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27636 and 27646, than apply into the LCM equation.

GCF(27636,27646) = 2
LCM(27636,27646) = ( 27636 × 27646) / 2
LCM(27636,27646) = 764024856 / 2
LCM(27636,27646) = 382012428

Least Common Multiple (LCM) of 27636 and 27646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27636 and 27646. First we will calculate the prime factors of 27636 and 27646.

Prime Factorization of 27636

Prime factors of 27636 are 2, 3, 7, 47. Prime factorization of 27636 in exponential form is:

27636 = 22 × 31 × 72 × 471

Prime Factorization of 27646

Prime factors of 27646 are 2, 23, 601. Prime factorization of 27646 in exponential form is:

27646 = 21 × 231 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 27636 and 27646.

LCM(27636,27646) = 22 × 31 × 72 × 471 × 231 × 6011
LCM(27636,27646) = 382012428