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What is the Least Common Multiple of 94990 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 94990 and 94997 is 1289109290.

LCM(94990,94997) = 1289109290

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Least Common Multiple of 94990 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 94990 and 94997, than apply into the LCM equation.

GCF(94990,94997) = 7
LCM(94990,94997) = ( 94990 × 94997) / 7
LCM(94990,94997) = 9023765030 / 7
LCM(94990,94997) = 1289109290

Least Common Multiple (LCM) of 94990 and 94997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94990 and 94997. First we will calculate the prime factors of 94990 and 94997.

Prime Factorization of 94990

Prime factors of 94990 are 2, 5, 7, 23, 59. Prime factorization of 94990 in exponential form is:

94990 = 21 × 51 × 71 × 231 × 591

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 94990 and 94997.

LCM(94990,94997) = 21 × 51 × 71 × 231 × 591 × 411 × 3311
LCM(94990,94997) = 1289109290