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What is the Least Common Multiple of 37105 and 37116?

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 37105 and 37116 is 1377189180.

LCM(37105,37116) = 1377189180

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Least Common Multiple of 37105 and 37116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37105 and 37116, than apply into the LCM equation.

GCF(37105,37116) = 1
LCM(37105,37116) = ( 37105 × 37116) / 1
LCM(37105,37116) = 1377189180 / 1
LCM(37105,37116) = 1377189180

Least Common Multiple (LCM) of 37105 and 37116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37105 and 37116. First we will calculate the prime factors of 37105 and 37116.

Prime Factorization of 37105

Prime factors of 37105 are 5, 41, 181. Prime factorization of 37105 in exponential form is:

37105 = 51 × 411 × 1811

Prime Factorization of 37116

Prime factors of 37116 are 2, 3, 1031. Prime factorization of 37116 in exponential form is:

37116 = 22 × 32 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 37105 and 37116.

LCM(37105,37116) = 51 × 411 × 1811 × 22 × 32 × 10311
LCM(37105,37116) = 1377189180