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What is the Least Common Multiple of 95348 and 95359?

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 95348 and 95359 is 826571812.

LCM(95348,95359) = 826571812

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Least Common Multiple of 95348 and 95359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95348 and 95359, than apply into the LCM equation.

GCF(95348,95359) = 11
LCM(95348,95359) = ( 95348 × 95359) / 11
LCM(95348,95359) = 9092289932 / 11
LCM(95348,95359) = 826571812

Least Common Multiple (LCM) of 95348 and 95359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95348 and 95359. First we will calculate the prime factors of 95348 and 95359.

Prime Factorization of 95348

Prime factors of 95348 are 2, 11, 197. Prime factorization of 95348 in exponential form is:

95348 = 22 × 112 × 1971

Prime Factorization of 95359

Prime factors of 95359 are 11, 8669. Prime factorization of 95359 in exponential form is:

95359 = 111 × 86691

Now multiplying the highest exponent prime factors to calculate the LCM of 95348 and 95359.

LCM(95348,95359) = 22 × 112 × 1971 × 86691
LCM(95348,95359) = 826571812