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What is the Least Common Multiple of 79148 and 79157?

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 79148 and 79157 is 6265118236.

LCM(79148,79157) = 6265118236

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Least Common Multiple of 79148 and 79157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79148 and 79157, than apply into the LCM equation.

GCF(79148,79157) = 1
LCM(79148,79157) = ( 79148 × 79157) / 1
LCM(79148,79157) = 6265118236 / 1
LCM(79148,79157) = 6265118236

Least Common Multiple (LCM) of 79148 and 79157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79148 and 79157. First we will calculate the prime factors of 79148 and 79157.

Prime Factorization of 79148

Prime factors of 79148 are 2, 47, 421. Prime factorization of 79148 in exponential form is:

79148 = 22 × 471 × 4211

Prime Factorization of 79157

Prime factors of 79157 are 13, 6089. Prime factorization of 79157 in exponential form is:

79157 = 131 × 60891

Now multiplying the highest exponent prime factors to calculate the LCM of 79148 and 79157.

LCM(79148,79157) = 22 × 471 × 4211 × 131 × 60891
LCM(79148,79157) = 6265118236