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What is the Least Common Multiple of 79136 and 79155?

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 79136 and 79155 is 6264010080.

LCM(79136,79155) = 6264010080

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Least Common Multiple of 79136 and 79155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79136 and 79155, than apply into the LCM equation.

GCF(79136,79155) = 1
LCM(79136,79155) = ( 79136 × 79155) / 1
LCM(79136,79155) = 6264010080 / 1
LCM(79136,79155) = 6264010080

Least Common Multiple (LCM) of 79136 and 79155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79136 and 79155. First we will calculate the prime factors of 79136 and 79155.

Prime Factorization of 79136

Prime factors of 79136 are 2, 2473. Prime factorization of 79136 in exponential form is:

79136 = 25 × 24731

Prime Factorization of 79155

Prime factors of 79155 are 3, 5, 1759. Prime factorization of 79155 in exponential form is:

79155 = 32 × 51 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 79136 and 79155.

LCM(79136,79155) = 25 × 24731 × 32 × 51 × 17591
LCM(79136,79155) = 6264010080