What is the Least Common Multiple of 37596 and 37613?

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 37613 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 37613, than apply into the LCM equation.

GCF(37596,37613) = 1
LCM(37596,37613) = ( 37596 × 37613) / 1
LCM(37596,37613) = 1414098348 / 1
LCM(37596,37613) = 1414098348

Least Common Multiple (LCM) of 37596 and 37613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37596 and 37613. First we will calculate the prime factors of 37596 and 37613.

Prime Factorization of 37596

Prime Factorization of 37613

Now multiplying the highest exponent prime factors to calculate the LCM of 37596 and 37613.

LCM(37596,37613) = 2² × 3¹ × 13¹ × 241¹ × 29¹ × 1297¹
LCM(37596,37613) = 1414098348