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What is the Least Common Multiple of 94981 and 94997?

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 94981 and 94997 is 9022910057.

LCM(94981,94997) = 9022910057

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Least Common Multiple of 94981 and 94997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94981 and 94997, than apply into the LCM equation.

GCF(94981,94997) = 1
LCM(94981,94997) = ( 94981 × 94997) / 1
LCM(94981,94997) = 9022910057 / 1
LCM(94981,94997) = 9022910057

Least Common Multiple (LCM) of 94981 and 94997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94981 and 94997. First we will calculate the prime factors of 94981 and 94997.

Prime Factorization of 94981

Prime factors of 94981 are 19, 4999. Prime factorization of 94981 in exponential form is:

94981 = 191 × 49991

Prime Factorization of 94997

Prime factors of 94997 are 7, 41, 331. Prime factorization of 94997 in exponential form is:

94997 = 71 × 411 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 94981 and 94997.

LCM(94981,94997) = 191 × 49991 × 71 × 411 × 3311
LCM(94981,94997) = 9022910057