What is the Least Common Multiple of 37096 and 37102?

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 37096 and 37102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37096 and 37102, than apply into the LCM equation.

GCF(37096,37102) = 2
LCM(37096,37102) = ( 37096 × 37102) / 2
LCM(37096,37102) = 1376335792 / 2
LCM(37096,37102) = 688167896

Least Common Multiple (LCM) of 37096 and 37102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37096 and 37102. First we will calculate the prime factors of 37096 and 37102.

Prime Factorization of 37096

Prime Factorization of 37102

Now multiplying the highest exponent prime factors to calculate the LCM of 37096 and 37102.

LCM(37096,37102) = 2³ × 4637¹ × 13¹ × 1427¹
LCM(37096,37102) = 688167896