What is the Least Common Multiple of 37102 and 37108?

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 37102 and 37108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37102 and 37108, than apply into the LCM equation.

GCF(37102,37108) = 2
LCM(37102,37108) = ( 37102 × 37108) / 2
LCM(37102,37108) = 1376781016 / 2
LCM(37102,37108) = 688390508

Least Common Multiple (LCM) of 37102 and 37108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37102 and 37108. First we will calculate the prime factors of 37102 and 37108.

Prime Factorization of 37102

Prime Factorization of 37108

Now multiplying the highest exponent prime factors to calculate the LCM of 37102 and 37108.

LCM(37102,37108) = 2² × 13¹ × 1427¹ × 9277¹
LCM(37102,37108) = 688390508