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What is the Least Common Multiple of 37299 and 37318?

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 37299 and 37318 is 1391924082.

LCM(37299,37318) = 1391924082

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Least Common Multiple of 37299 and 37318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37299 and 37318, than apply into the LCM equation.

GCF(37299,37318) = 1
LCM(37299,37318) = ( 37299 × 37318) / 1
LCM(37299,37318) = 1391924082 / 1
LCM(37299,37318) = 1391924082

Least Common Multiple (LCM) of 37299 and 37318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37299 and 37318. First we will calculate the prime factors of 37299 and 37318.

Prime Factorization of 37299

Prime factors of 37299 are 3, 12433. Prime factorization of 37299 in exponential form is:

37299 = 31 × 124331

Prime Factorization of 37318

Prime factors of 37318 are 2, 47, 397. Prime factorization of 37318 in exponential form is:

37318 = 21 × 471 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 37299 and 37318.

LCM(37299,37318) = 31 × 124331 × 21 × 471 × 3971
LCM(37299,37318) = 1391924082