What is the Least Common Multiple of 37596 and 37615?

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 37596 and 37615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37596 and 37615, than apply into the LCM equation.

GCF(37596,37615) = 1
LCM(37596,37615) = ( 37596 × 37615) / 1
LCM(37596,37615) = 1414173540 / 1
LCM(37596,37615) = 1414173540

Least Common Multiple (LCM) of 37596 and 37615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37596 and 37615. First we will calculate the prime factors of 37596 and 37615.

Prime Factorization of 37596

Prime Factorization of 37615

Now multiplying the highest exponent prime factors to calculate the LCM of 37596 and 37615.

LCM(37596,37615) = 2² × 3¹ × 13¹ × 241¹ × 5¹ × 7523¹
LCM(37596,37615) = 1414173540