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What is the Least Common Multiple of 79652 and 79667?

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 79652 and 79667 is 6345635884.

LCM(79652,79667) = 6345635884

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Least Common Multiple of 79652 and 79667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79652 and 79667, than apply into the LCM equation.

GCF(79652,79667) = 1
LCM(79652,79667) = ( 79652 × 79667) / 1
LCM(79652,79667) = 6345635884 / 1
LCM(79652,79667) = 6345635884

Least Common Multiple (LCM) of 79652 and 79667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79652 and 79667. First we will calculate the prime factors of 79652 and 79667.

Prime Factorization of 79652

Prime factors of 79652 are 2, 19913. Prime factorization of 79652 in exponential form is:

79652 = 22 × 199131

Prime Factorization of 79667

Prime factors of 79667 are 7, 19, 599. Prime factorization of 79667 in exponential form is:

79667 = 71 × 191 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 79652 and 79667.

LCM(79652,79667) = 22 × 199131 × 71 × 191 × 5991
LCM(79652,79667) = 6345635884