What is the Least Common Multiple of 37602 and 37619?

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 37602 and 37619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37602 and 37619, than apply into the LCM equation.

GCF(37602,37619) = 1
LCM(37602,37619) = ( 37602 × 37619) / 1
LCM(37602,37619) = 1414549638 / 1
LCM(37602,37619) = 1414549638

Least Common Multiple (LCM) of 37602 and 37619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37602 and 37619. First we will calculate the prime factors of 37602 and 37619.

Prime Factorization of 37602

Prime Factorization of 37619

Now multiplying the highest exponent prime factors to calculate the LCM of 37602 and 37619.

LCM(37602,37619) = 2¹ × 3² × 2089¹ × 37619¹
LCM(37602,37619) = 1414549638