What is the Least Common Multiple of 37020 and 37032?

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 37020 and 37032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37020 and 37032, than apply into the LCM equation.

GCF(37020,37032) = 12
LCM(37020,37032) = ( 37020 × 37032) / 12
LCM(37020,37032) = 1370924640 / 12
LCM(37020,37032) = 114243720

Least Common Multiple (LCM) of 37020 and 37032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37020 and 37032. First we will calculate the prime factors of 37020 and 37032.

Prime Factorization of 37020

Prime Factorization of 37032

Now multiplying the highest exponent prime factors to calculate the LCM of 37020 and 37032.

LCM(37020,37032) = 2³ × 3¹ × 5¹ × 617¹ × 1543¹
LCM(37020,37032) = 114243720