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What is the Least Common Multiple of 72037 and 72051?

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 72037 and 72051 is 741476841.

LCM(72037,72051) = 741476841

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Least Common Multiple of 72037 and 72051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72037 and 72051, than apply into the LCM equation.

GCF(72037,72051) = 7
LCM(72037,72051) = ( 72037 × 72051) / 7
LCM(72037,72051) = 5190337887 / 7
LCM(72037,72051) = 741476841

Least Common Multiple (LCM) of 72037 and 72051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72037 and 72051. First we will calculate the prime factors of 72037 and 72051.

Prime Factorization of 72037

Prime factors of 72037 are 7, 41, 251. Prime factorization of 72037 in exponential form is:

72037 = 71 × 411 × 2511

Prime Factorization of 72051

Prime factors of 72051 are 3, 7, 47, 73. Prime factorization of 72051 in exponential form is:

72051 = 31 × 71 × 471 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 72037 and 72051.

LCM(72037,72051) = 71 × 411 × 2511 × 31 × 471 × 731
LCM(72037,72051) = 741476841