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What is the Least Common Multiple of 95124 and 95131?

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 95124 and 95131 is 9049241244.

LCM(95124,95131) = 9049241244

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Least Common Multiple of 95124 and 95131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95124 and 95131, than apply into the LCM equation.

GCF(95124,95131) = 1
LCM(95124,95131) = ( 95124 × 95131) / 1
LCM(95124,95131) = 9049241244 / 1
LCM(95124,95131) = 9049241244

Least Common Multiple (LCM) of 95124 and 95131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95124 and 95131. First we will calculate the prime factors of 95124 and 95131.

Prime Factorization of 95124

Prime factors of 95124 are 2, 3, 7927. Prime factorization of 95124 in exponential form is:

95124 = 22 × 31 × 79271

Prime Factorization of 95131

Prime factors of 95131 are 95131. Prime factorization of 95131 in exponential form is:

95131 = 951311

Now multiplying the highest exponent prime factors to calculate the LCM of 95124 and 95131.

LCM(95124,95131) = 22 × 31 × 79271 × 951311
LCM(95124,95131) = 9049241244