What is the Least Common Multiple of 37656 and 37660?

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 37660 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 37660, than apply into the LCM equation.

GCF(37656,37660) = 4
LCM(37656,37660) = ( 37656 × 37660) / 4
LCM(37656,37660) = 1418124960 / 4
LCM(37656,37660) = 354531240

Least Common Multiple (LCM) of 37656 and 37660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37656 and 37660. First we will calculate the prime factors of 37656 and 37660.

Prime Factorization of 37656

Prime Factorization of 37660

Now multiplying the highest exponent prime factors to calculate the LCM of 37656 and 37660.

LCM(37656,37660) = 2³ × 3² × 523¹ × 5¹ × 7¹ × 269¹
LCM(37656,37660) = 354531240