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What is the Least Common Multiple of 12633 and 12646?

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 12633 and 12646 is 159756918.

LCM(12633,12646) = 159756918

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Least Common Multiple of 12633 and 12646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12633 and 12646, than apply into the LCM equation.

GCF(12633,12646) = 1
LCM(12633,12646) = ( 12633 × 12646) / 1
LCM(12633,12646) = 159756918 / 1
LCM(12633,12646) = 159756918

Least Common Multiple (LCM) of 12633 and 12646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12633 and 12646. First we will calculate the prime factors of 12633 and 12646.

Prime Factorization of 12633

Prime factors of 12633 are 3, 4211. Prime factorization of 12633 in exponential form is:

12633 = 31 × 42111

Prime Factorization of 12646

Prime factors of 12646 are 2, 6323. Prime factorization of 12646 in exponential form is:

12646 = 21 × 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 12633 and 12646.

LCM(12633,12646) = 31 × 42111 × 21 × 63231
LCM(12633,12646) = 159756918