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What is the Least Common Multiple of 37106 and 37126?

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 37106 and 37126 is 688798678.

LCM(37106,37126) = 688798678

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Least Common Multiple of 37106 and 37126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37106 and 37126, than apply into the LCM equation.

GCF(37106,37126) = 2
LCM(37106,37126) = ( 37106 × 37126) / 2
LCM(37106,37126) = 1377597356 / 2
LCM(37106,37126) = 688798678

Least Common Multiple (LCM) of 37106 and 37126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37106 and 37126. First we will calculate the prime factors of 37106 and 37126.

Prime Factorization of 37106

Prime factors of 37106 are 2, 18553. Prime factorization of 37106 in exponential form is:

37106 = 21 × 185531

Prime Factorization of 37126

Prime factors of 37126 are 2, 19, 977. Prime factorization of 37126 in exponential form is:

37126 = 21 × 191 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 37106 and 37126.

LCM(37106,37126) = 21 × 185531 × 191 × 9771
LCM(37106,37126) = 688798678