What is the Least Common Multiple of 37116 and 37120?

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 37116 and 37120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37116 and 37120, than apply into the LCM equation.

GCF(37116,37120) = 4
LCM(37116,37120) = ( 37116 × 37120) / 4
LCM(37116,37120) = 1377745920 / 4
LCM(37116,37120) = 344436480

Least Common Multiple (LCM) of 37116 and 37120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37116 and 37120. First we will calculate the prime factors of 37116 and 37120.

Prime Factorization of 37116

Prime Factorization of 37120

Now multiplying the highest exponent prime factors to calculate the LCM of 37116 and 37120.

LCM(37116,37120) = 2⁸ × 3² × 1031¹ × 5¹ × 29¹
LCM(37116,37120) = 344436480