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What is the Least Common Multiple of 37081 and 37098?

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 37098 is 1375630938.

LCM(37081,37098) = 1375630938

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Least Common Multiple of 37081 and 37098 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 37098, than apply into the LCM equation.

GCF(37081,37098) = 1
LCM(37081,37098) = ( 37081 × 37098) / 1
LCM(37081,37098) = 1375630938 / 1
LCM(37081,37098) = 1375630938

Least Common Multiple (LCM) of 37081 and 37098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37081 and 37098. First we will calculate the prime factors of 37081 and 37098.

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 37098

Prime factors of 37098 are 2, 3, 229. Prime factorization of 37098 in exponential form is:

37098 = 21 × 34 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 37081 and 37098.

LCM(37081,37098) = 111 × 33711 × 21 × 34 × 2291
LCM(37081,37098) = 1375630938