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What is the Least Common Multiple of 76629 and 76646?

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 76629 and 76646 is 5873306334.

LCM(76629,76646) = 5873306334

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Least Common Multiple of 76629 and 76646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76629 and 76646, than apply into the LCM equation.

GCF(76629,76646) = 1
LCM(76629,76646) = ( 76629 × 76646) / 1
LCM(76629,76646) = 5873306334 / 1
LCM(76629,76646) = 5873306334

Least Common Multiple (LCM) of 76629 and 76646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76629 and 76646. First we will calculate the prime factors of 76629 and 76646.

Prime Factorization of 76629

Prime factors of 76629 are 3, 7, 41, 89. Prime factorization of 76629 in exponential form is:

76629 = 31 × 71 × 411 × 891

Prime Factorization of 76646

Prime factors of 76646 are 2, 19, 2017. Prime factorization of 76646 in exponential form is:

76646 = 21 × 191 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 76629 and 76646.

LCM(76629,76646) = 31 × 71 × 411 × 891 × 21 × 191 × 20171
LCM(76629,76646) = 5873306334