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What is the Least Common Multiple of 95310 and 95316?

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 95310 and 95316 is 1514094660.

LCM(95310,95316) = 1514094660

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Least Common Multiple of 95310 and 95316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95310 and 95316, than apply into the LCM equation.

GCF(95310,95316) = 6
LCM(95310,95316) = ( 95310 × 95316) / 6
LCM(95310,95316) = 9084567960 / 6
LCM(95310,95316) = 1514094660

Least Common Multiple (LCM) of 95310 and 95316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95310 and 95316. First we will calculate the prime factors of 95310 and 95316.

Prime Factorization of 95310

Prime factors of 95310 are 2, 3, 5, 353. Prime factorization of 95310 in exponential form is:

95310 = 21 × 33 × 51 × 3531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 95310 and 95316.

LCM(95310,95316) = 22 × 33 × 51 × 3531 × 132 × 471
LCM(95310,95316) = 1514094660