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What is the Least Common Multiple of 79657 and 79661?

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 79657 and 79661 is 6345556277.

LCM(79657,79661) = 6345556277

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Least Common Multiple of 79657 and 79661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79657 and 79661, than apply into the LCM equation.

GCF(79657,79661) = 1
LCM(79657,79661) = ( 79657 × 79661) / 1
LCM(79657,79661) = 6345556277 / 1
LCM(79657,79661) = 6345556277

Least Common Multiple (LCM) of 79657 and 79661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79657 and 79661. First we will calculate the prime factors of 79657 and 79661.

Prime Factorization of 79657

Prime factors of 79657 are 79657. Prime factorization of 79657 in exponential form is:

79657 = 796571

Prime Factorization of 79661

Prime factors of 79661 are 37, 2153. Prime factorization of 79661 in exponential form is:

79661 = 371 × 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 79657 and 79661.

LCM(79657,79661) = 796571 × 371 × 21531
LCM(79657,79661) = 6345556277