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What is the Least Common Multiple of 95211 and 95218?

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 95211 and 95218 is 9065800998.

LCM(95211,95218) = 9065800998

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Least Common Multiple of 95211 and 95218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95211 and 95218, than apply into the LCM equation.

GCF(95211,95218) = 1
LCM(95211,95218) = ( 95211 × 95218) / 1
LCM(95211,95218) = 9065800998 / 1
LCM(95211,95218) = 9065800998

Least Common Multiple (LCM) of 95211 and 95218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95211 and 95218. First we will calculate the prime factors of 95211 and 95218.

Prime Factorization of 95211

Prime factors of 95211 are 3, 71, 149. Prime factorization of 95211 in exponential form is:

95211 = 32 × 711 × 1491

Prime Factorization of 95218

Prime factors of 95218 are 2, 47609. Prime factorization of 95218 in exponential form is:

95218 = 21 × 476091

Now multiplying the highest exponent prime factors to calculate the LCM of 95211 and 95218.

LCM(95211,95218) = 32 × 711 × 1491 × 21 × 476091
LCM(95211,95218) = 9065800998