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What is the Least Common Multiple of 96157 and 96163?

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 96157 and 96163 is 9246745591.

LCM(96157,96163) = 9246745591

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Least Common Multiple of 96157 and 96163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96157 and 96163, than apply into the LCM equation.

GCF(96157,96163) = 1
LCM(96157,96163) = ( 96157 × 96163) / 1
LCM(96157,96163) = 9246745591 / 1
LCM(96157,96163) = 9246745591

Least Common Multiple (LCM) of 96157 and 96163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96157 and 96163. First we will calculate the prime factors of 96157 and 96163.

Prime Factorization of 96157

Prime factors of 96157 are 96157. Prime factorization of 96157 in exponential form is:

96157 = 961571

Prime Factorization of 96163

Prime factors of 96163 are 23, 37, 113. Prime factorization of 96163 in exponential form is:

96163 = 231 × 371 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 96157 and 96163.

LCM(96157,96163) = 961571 × 231 × 371 × 1131
LCM(96157,96163) = 9246745591