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What is the Least Common Multiple of 79551 and 79561?

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 79551 and 79561 is 6329157111.

LCM(79551,79561) = 6329157111

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Least Common Multiple of 79551 and 79561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79551 and 79561, than apply into the LCM equation.

GCF(79551,79561) = 1
LCM(79551,79561) = ( 79551 × 79561) / 1
LCM(79551,79561) = 6329157111 / 1
LCM(79551,79561) = 6329157111

Least Common Multiple (LCM) of 79551 and 79561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79551 and 79561. First we will calculate the prime factors of 79551 and 79561.

Prime Factorization of 79551

Prime factors of 79551 are 3, 8839. Prime factorization of 79551 in exponential form is:

79551 = 32 × 88391

Prime Factorization of 79561

Prime factors of 79561 are 79561. Prime factorization of 79561 in exponential form is:

79561 = 795611

Now multiplying the highest exponent prime factors to calculate the LCM of 79551 and 79561.

LCM(79551,79561) = 32 × 88391 × 795611
LCM(79551,79561) = 6329157111