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What is the Least Common Multiple of 94906 and 94915?

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 94906 and 94915 is 9008002990.

LCM(94906,94915) = 9008002990

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Least Common Multiple of 94906 and 94915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94906 and 94915, than apply into the LCM equation.

GCF(94906,94915) = 1
LCM(94906,94915) = ( 94906 × 94915) / 1
LCM(94906,94915) = 9008002990 / 1
LCM(94906,94915) = 9008002990

Least Common Multiple (LCM) of 94906 and 94915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94906 and 94915. First we will calculate the prime factors of 94906 and 94915.

Prime Factorization of 94906

Prime factors of 94906 are 2, 7, 6779. Prime factorization of 94906 in exponential form is:

94906 = 21 × 71 × 67791

Prime Factorization of 94915

Prime factors of 94915 are 5, 41, 463. Prime factorization of 94915 in exponential form is:

94915 = 51 × 411 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 94906 and 94915.

LCM(94906,94915) = 21 × 71 × 67791 × 51 × 411 × 4631
LCM(94906,94915) = 9008002990