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What is the Least Common Multiple of 95370 and 95386?

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 95370 and 95386 is 4548481410.

LCM(95370,95386) = 4548481410

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Least Common Multiple of 95370 and 95386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95370 and 95386, than apply into the LCM equation.

GCF(95370,95386) = 2
LCM(95370,95386) = ( 95370 × 95386) / 2
LCM(95370,95386) = 9096962820 / 2
LCM(95370,95386) = 4548481410

Least Common Multiple (LCM) of 95370 and 95386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95370 and 95386. First we will calculate the prime factors of 95370 and 95386.

Prime Factorization of 95370

Prime factors of 95370 are 2, 3, 5, 11, 17. Prime factorization of 95370 in exponential form is:

95370 = 21 × 31 × 51 × 111 × 172

Prime Factorization of 95386

Prime factors of 95386 are 2, 37, 1289. Prime factorization of 95386 in exponential form is:

95386 = 21 × 371 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 95370 and 95386.

LCM(95370,95386) = 21 × 31 × 51 × 111 × 172 × 371 × 12891
LCM(95370,95386) = 4548481410