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
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
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