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What is the Least Common Multiple of 37385 and 37394?

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 37385 and 37394 is 1397974690.

LCM(37385,37394) = 1397974690

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Least Common Multiple of 37385 and 37394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37385 and 37394, than apply into the LCM equation.

GCF(37385,37394) = 1
LCM(37385,37394) = ( 37385 × 37394) / 1
LCM(37385,37394) = 1397974690 / 1
LCM(37385,37394) = 1397974690

Least Common Multiple (LCM) of 37385 and 37394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37385 and 37394. First we will calculate the prime factors of 37385 and 37394.

Prime Factorization of 37385

Prime factors of 37385 are 5, 7477. Prime factorization of 37385 in exponential form is:

37385 = 51 × 74771

Prime Factorization of 37394

Prime factors of 37394 are 2, 7, 2671. Prime factorization of 37394 in exponential form is:

37394 = 21 × 71 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 37385 and 37394.

LCM(37385,37394) = 51 × 74771 × 21 × 71 × 26711
LCM(37385,37394) = 1397974690