What is the Least Common Multiple of 37120 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 of 37120 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 37120 and 37126, than apply into the LCM equation.

GCF(37120,37126) = 2
LCM(37120,37126) = ( 37120 × 37126) / 2
LCM(37120,37126) = 1378117120 / 2
LCM(37120,37126) = 689058560

Least Common Multiple (LCM) of 37120 and 37126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37120 and 37126. First we will calculate the prime factors of 37120 and 37126.

Prime Factorization of 37120

Prime Factorization of 37126

Now multiplying the highest exponent prime factors to calculate the LCM of 37120 and 37126.

LCM(37120,37126) = 2⁸ × 5¹ × 29¹ × 19¹ × 977¹
LCM(37120,37126) = 689058560