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What is the Least Common Multiple of 37081 and 37095?

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 37081 and 37095 is 1375519695.

LCM(37081,37095) = 1375519695

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Least Common Multiple of 37081 and 37095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37081 and 37095, than apply into the LCM equation.

GCF(37081,37095) = 1
LCM(37081,37095) = ( 37081 × 37095) / 1
LCM(37081,37095) = 1375519695 / 1
LCM(37081,37095) = 1375519695

Least Common Multiple (LCM) of 37081 and 37095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37081 and 37095. First we will calculate the prime factors of 37081 and 37095.

Prime Factorization of 37081

Prime factors of 37081 are 11, 3371. Prime factorization of 37081 in exponential form is:

37081 = 111 × 33711

Prime Factorization of 37095

Prime factors of 37095 are 3, 5, 2473. Prime factorization of 37095 in exponential form is:

37095 = 31 × 51 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 37081 and 37095.

LCM(37081,37095) = 111 × 33711 × 31 × 51 × 24731
LCM(37081,37095) = 1375519695