What is the Least Common Multiple of 37656 and 37665?

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 37656 and 37665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37656 and 37665, than apply into the LCM equation.

GCF(37656,37665) = 9
LCM(37656,37665) = ( 37656 × 37665) / 9
LCM(37656,37665) = 1418313240 / 9
LCM(37656,37665) = 157590360

Least Common Multiple (LCM) of 37656 and 37665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37656 and 37665. First we will calculate the prime factors of 37656 and 37665.

Prime Factorization of 37656

Prime Factorization of 37665

Now multiplying the highest exponent prime factors to calculate the LCM of 37656 and 37665.

LCM(37656,37665) = 2³ × 3⁵ × 523¹ × 5¹ × 31¹
LCM(37656,37665) = 157590360