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What is the Least Common Multiple of 94931 and 94948?

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 94931 and 94948 is 9013508588.

LCM(94931,94948) = 9013508588

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Least Common Multiple of 94931 and 94948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94931 and 94948, than apply into the LCM equation.

GCF(94931,94948) = 1
LCM(94931,94948) = ( 94931 × 94948) / 1
LCM(94931,94948) = 9013508588 / 1
LCM(94931,94948) = 9013508588

Least Common Multiple (LCM) of 94931 and 94948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94931 and 94948. First we will calculate the prime factors of 94931 and 94948.

Prime Factorization of 94931

Prime factors of 94931 are 59, 1609. Prime factorization of 94931 in exponential form is:

94931 = 591 × 16091

Prime Factorization of 94948

Prime factors of 94948 are 2, 7, 3391. Prime factorization of 94948 in exponential form is:

94948 = 22 × 71 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 94931 and 94948.

LCM(94931,94948) = 591 × 16091 × 22 × 71 × 33911
LCM(94931,94948) = 9013508588