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What is the Least Common Multiple of 27629 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 27629 and 27646 is 763831334.

LCM(27629,27646) = 763831334

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Least Common Multiple of 27629 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 27629 and 27646, than apply into the LCM equation.

GCF(27629,27646) = 1
LCM(27629,27646) = ( 27629 × 27646) / 1
LCM(27629,27646) = 763831334 / 1
LCM(27629,27646) = 763831334

Least Common Multiple (LCM) of 27629 and 27646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27629 and 27646. First we will calculate the prime factors of 27629 and 27646.

Prime Factorization of 27629

Prime factors of 27629 are 7, 3947. Prime factorization of 27629 in exponential form is:

27629 = 71 × 39471

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 27629 and 27646.

LCM(27629,27646) = 71 × 39471 × 21 × 231 × 6011
LCM(27629,27646) = 763831334