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What is the Least Common Multiple of 96157 and 96168?

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 96168 is 9247226376.

LCM(96157,96168) = 9247226376

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Least Common Multiple of 96157 and 96168 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 96168, than apply into the LCM equation.

GCF(96157,96168) = 1
LCM(96157,96168) = ( 96157 × 96168) / 1
LCM(96157,96168) = 9247226376 / 1
LCM(96157,96168) = 9247226376

Least Common Multiple (LCM) of 96157 and 96168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96157 and 96168. First we will calculate the prime factors of 96157 and 96168.

Prime Factorization of 96157

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

96157 = 961571

Prime Factorization of 96168

Prime factors of 96168 are 2, 3, 4007. Prime factorization of 96168 in exponential form is:

96168 = 23 × 31 × 40071

Now multiplying the highest exponent prime factors to calculate the LCM of 96157 and 96168.

LCM(96157,96168) = 961571 × 23 × 31 × 40071
LCM(96157,96168) = 9247226376