What is the Least Common Multiple of 37560 and 37572?

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 37560 and 37572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37560 and 37572, than apply into the LCM equation.

GCF(37560,37572) = 12
LCM(37560,37572) = ( 37560 × 37572) / 12
LCM(37560,37572) = 1411204320 / 12
LCM(37560,37572) = 117600360

Least Common Multiple (LCM) of 37560 and 37572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37560 and 37572. First we will calculate the prime factors of 37560 and 37572.

Prime Factorization of 37560

Prime Factorization of 37572

Now multiplying the highest exponent prime factors to calculate the LCM of 37560 and 37572.

LCM(37560,37572) = 2³ × 3¹ × 5¹ × 313¹ × 31¹ × 101¹
LCM(37560,37572) = 117600360