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What is the Least Common Multiple of 66939 and 66957?

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 66939 and 66957 is 1494011541.

LCM(66939,66957) = 1494011541

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Least Common Multiple of 66939 and 66957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66939 and 66957, than apply into the LCM equation.

GCF(66939,66957) = 3
LCM(66939,66957) = ( 66939 × 66957) / 3
LCM(66939,66957) = 4482034623 / 3
LCM(66939,66957) = 1494011541

Least Common Multiple (LCM) of 66939 and 66957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66939 and 66957. First we will calculate the prime factors of 66939 and 66957.

Prime Factorization of 66939

Prime factors of 66939 are 3, 53, 421. Prime factorization of 66939 in exponential form is:

66939 = 31 × 531 × 4211

Prime Factorization of 66957

Prime factors of 66957 are 3, 11, 2029. Prime factorization of 66957 in exponential form is:

66957 = 31 × 111 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 66939 and 66957.

LCM(66939,66957) = 31 × 531 × 4211 × 111 × 20291
LCM(66939,66957) = 1494011541