What is the Least Common Multiple of 37909 and 37916?

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 37909 and 37916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37909 and 37916, than apply into the LCM equation.

GCF(37909,37916) = 1
LCM(37909,37916) = ( 37909 × 37916) / 1
LCM(37909,37916) = 1437357644 / 1
LCM(37909,37916) = 1437357644

Least Common Multiple (LCM) of 37909 and 37916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37909 and 37916. First we will calculate the prime factors of 37909 and 37916.

Prime Factorization of 37909

Prime Factorization of 37916

Now multiplying the highest exponent prime factors to calculate the LCM of 37909 and 37916.

LCM(37909,37916) = 167¹ × 227¹ × 2² × 9479¹
LCM(37909,37916) = 1437357644