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What is the Least Common Multiple of 95316 and 95327?

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 95316 and 95327 is 9086188332.

LCM(95316,95327) = 9086188332

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Least Common Multiple of 95316 and 95327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95316 and 95327, than apply into the LCM equation.

GCF(95316,95327) = 1
LCM(95316,95327) = ( 95316 × 95327) / 1
LCM(95316,95327) = 9086188332 / 1
LCM(95316,95327) = 9086188332

Least Common Multiple (LCM) of 95316 and 95327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95316 and 95327. First we will calculate the prime factors of 95316 and 95327.

Prime Factorization of 95316

Prime factors of 95316 are 2, 3, 13, 47. Prime factorization of 95316 in exponential form is:

95316 = 22 × 31 × 132 × 471

Prime Factorization of 95327

Prime factors of 95327 are 95327. Prime factorization of 95327 in exponential form is:

95327 = 953271

Now multiplying the highest exponent prime factors to calculate the LCM of 95316 and 95327.

LCM(95316,95327) = 22 × 31 × 132 × 471 × 953271
LCM(95316,95327) = 9086188332