What is the Least Common Multiple of 37112 and 37130?

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 of 37112 and 37130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37112 and 37130, than apply into the LCM equation.

GCF(37112,37130) = 2
LCM(37112,37130) = ( 37112 × 37130) / 2
LCM(37112,37130) = 1377968560 / 2
LCM(37112,37130) = 688984280

Least Common Multiple (LCM) of 37112 and 37130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37112 and 37130. First we will calculate the prime factors of 37112 and 37130.

Prime Factorization of 37112

Prime Factorization of 37130

Now multiplying the highest exponent prime factors to calculate the LCM of 37112 and 37130.

LCM(37112,37130) = 2³ × 4639¹ × 5¹ × 47¹ × 79¹
LCM(37112,37130) = 688984280