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What is the Least Common Multiple of 79652 and 79671?

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 79671 is 6345954492.

LCM(79652,79671) = 6345954492

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Least Common Multiple of 79652 and 79671 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 79671, than apply into the LCM equation.

GCF(79652,79671) = 1
LCM(79652,79671) = ( 79652 × 79671) / 1
LCM(79652,79671) = 6345954492 / 1
LCM(79652,79671) = 6345954492

Least Common Multiple (LCM) of 79652 and 79671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79652 and 79671. First we will calculate the prime factors of 79652 and 79671.

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 79671

Prime factors of 79671 are 3, 26557. Prime factorization of 79671 in exponential form is:

79671 = 31 × 265571

Now multiplying the highest exponent prime factors to calculate the LCM of 79652 and 79671.

LCM(79652,79671) = 22 × 199131 × 31 × 265571
LCM(79652,79671) = 6345954492