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What is the Least Common Multiple of 94934 and 94942?

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 94934 and 94942 is 4506611914.

LCM(94934,94942) = 4506611914

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Least Common Multiple of 94934 and 94942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94934 and 94942, than apply into the LCM equation.

GCF(94934,94942) = 2
LCM(94934,94942) = ( 94934 × 94942) / 2
LCM(94934,94942) = 9013223828 / 2
LCM(94934,94942) = 4506611914

Least Common Multiple (LCM) of 94934 and 94942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94934 and 94942. First we will calculate the prime factors of 94934 and 94942.

Prime Factorization of 94934

Prime factors of 94934 are 2, 7, 6781. Prime factorization of 94934 in exponential form is:

94934 = 21 × 71 × 67811

Prime Factorization of 94942

Prime factors of 94942 are 2, 37, 1283. Prime factorization of 94942 in exponential form is:

94942 = 21 × 371 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 94934 and 94942.

LCM(94934,94942) = 21 × 71 × 67811 × 371 × 12831
LCM(94934,94942) = 4506611914