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What is the Least Common Multiple of 66972 and 66985?

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 66972 and 66985 is 4486119420.

LCM(66972,66985) = 4486119420

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Least Common Multiple of 66972 and 66985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66972 and 66985, than apply into the LCM equation.

GCF(66972,66985) = 1
LCM(66972,66985) = ( 66972 × 66985) / 1
LCM(66972,66985) = 4486119420 / 1
LCM(66972,66985) = 4486119420

Least Common Multiple (LCM) of 66972 and 66985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66972 and 66985. First we will calculate the prime factors of 66972 and 66985.

Prime Factorization of 66972

Prime factors of 66972 are 2, 3, 5581. Prime factorization of 66972 in exponential form is:

66972 = 22 × 31 × 55811

Prime Factorization of 66985

Prime factors of 66985 are 5, 13397. Prime factorization of 66985 in exponential form is:

66985 = 51 × 133971

Now multiplying the highest exponent prime factors to calculate the LCM of 66972 and 66985.

LCM(66972,66985) = 22 × 31 × 55811 × 51 × 133971
LCM(66972,66985) = 4486119420