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What is the Least Common Multiple of 95163 and 95167?

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 95167 is 9056377221.

LCM(95163,95167) = 9056377221

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Least Common Multiple of 95163 and 95167 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 95167, than apply into the LCM equation.

GCF(95163,95167) = 1
LCM(95163,95167) = ( 95163 × 95167) / 1
LCM(95163,95167) = 9056377221 / 1
LCM(95163,95167) = 9056377221

Least Common Multiple (LCM) of 95163 and 95167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95163 and 95167. First we will calculate the prime factors of 95163 and 95167.

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 95167

Prime factors of 95167 are 59, 1613. Prime factorization of 95167 in exponential form is:

95167 = 591 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 95163 and 95167.

LCM(95163,95167) = 31 × 317211 × 591 × 16131
LCM(95163,95167) = 9056377221