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What is the Least Common Multiple of 95918 and 95927?

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 95918 and 95927 is 9201125986.

LCM(95918,95927) = 9201125986

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Least Common Multiple of 95918 and 95927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95918 and 95927, than apply into the LCM equation.

GCF(95918,95927) = 1
LCM(95918,95927) = ( 95918 × 95927) / 1
LCM(95918,95927) = 9201125986 / 1
LCM(95918,95927) = 9201125986

Least Common Multiple (LCM) of 95918 and 95927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95918 and 95927. First we will calculate the prime factors of 95918 and 95927.

Prime Factorization of 95918

Prime factors of 95918 are 2, 199, 241. Prime factorization of 95918 in exponential form is:

95918 = 21 × 1991 × 2411

Prime Factorization of 95927

Prime factors of 95927 are 13, 47, 157. Prime factorization of 95927 in exponential form is:

95927 = 131 × 471 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 95918 and 95927.

LCM(95918,95927) = 21 × 1991 × 2411 × 131 × 471 × 1571
LCM(95918,95927) = 9201125986