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What is the Least Common Multiple of 37042 and 37057?

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 37042 and 37057 is 1372665394.

LCM(37042,37057) = 1372665394

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Least Common Multiple of 37042 and 37057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37042 and 37057, than apply into the LCM equation.

GCF(37042,37057) = 1
LCM(37042,37057) = ( 37042 × 37057) / 1
LCM(37042,37057) = 1372665394 / 1
LCM(37042,37057) = 1372665394

Least Common Multiple (LCM) of 37042 and 37057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37042 and 37057. First we will calculate the prime factors of 37042 and 37057.

Prime Factorization of 37042

Prime factors of 37042 are 2, 18521. Prime factorization of 37042 in exponential form is:

37042 = 21 × 185211

Prime Factorization of 37057

Prime factors of 37057 are 37057. Prime factorization of 37057 in exponential form is:

37057 = 370571

Now multiplying the highest exponent prime factors to calculate the LCM of 37042 and 37057.

LCM(37042,37057) = 21 × 185211 × 370571
LCM(37042,37057) = 1372665394