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What is the Least Common Multiple of 89157 and 89177?

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 89157 and 89177 is 7950753789.

LCM(89157,89177) = 7950753789

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Least Common Multiple of 89157 and 89177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89157 and 89177, than apply into the LCM equation.

GCF(89157,89177) = 1
LCM(89157,89177) = ( 89157 × 89177) / 1
LCM(89157,89177) = 7950753789 / 1
LCM(89157,89177) = 7950753789

Least Common Multiple (LCM) of 89157 and 89177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89157 and 89177. First we will calculate the prime factors of 89157 and 89177.

Prime Factorization of 89157

Prime factors of 89157 are 3, 113, 263. Prime factorization of 89157 in exponential form is:

89157 = 31 × 1131 × 2631

Prime Factorization of 89177

Prime factors of 89177 are 11, 67. Prime factorization of 89177 in exponential form is:

89177 = 113 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 89157 and 89177.

LCM(89157,89177) = 31 × 1131 × 2631 × 113 × 671
LCM(89157,89177) = 7950753789