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What is the Least Common Multiple of 95316 and 95334?

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 95334 is 1514475924.

LCM(95316,95334) = 1514475924

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Least Common Multiple of 95316 and 95334 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 95334, than apply into the LCM equation.

GCF(95316,95334) = 6
LCM(95316,95334) = ( 95316 × 95334) / 6
LCM(95316,95334) = 9086855544 / 6
LCM(95316,95334) = 1514475924

Least Common Multiple (LCM) of 95316 and 95334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95316 and 95334. First we will calculate the prime factors of 95316 and 95334.

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 95334

Prime factors of 95334 are 2, 3, 15889. Prime factorization of 95334 in exponential form is:

95334 = 21 × 31 × 158891

Now multiplying the highest exponent prime factors to calculate the LCM of 95316 and 95334.

LCM(95316,95334) = 22 × 31 × 132 × 471 × 158891
LCM(95316,95334) = 1514475924