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What is the Least Common Multiple of 95163 and 95181?

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 95163 and 95181 is 3019236501.

LCM(95163,95181) = 3019236501

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Least Common Multiple of 95163 and 95181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95163 and 95181, than apply into the LCM equation.

GCF(95163,95181) = 3
LCM(95163,95181) = ( 95163 × 95181) / 3
LCM(95163,95181) = 9057709503 / 3
LCM(95163,95181) = 3019236501

Least Common Multiple (LCM) of 95163 and 95181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95163 and 95181. First we will calculate the prime factors of 95163 and 95181.

Prime Factorization of 95163

Prime factors of 95163 are 3, 31721. Prime factorization of 95163 in exponential form is:

95163 = 31 × 317211

Prime Factorization of 95181

Prime factors of 95181 are 3, 31727. Prime factorization of 95181 in exponential form is:

95181 = 31 × 317271

Now multiplying the highest exponent prime factors to calculate the LCM of 95163 and 95181.

LCM(95163,95181) = 31 × 317211 × 317271
LCM(95163,95181) = 3019236501