What is the Least Common Multiple of 37598 and 37617?

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 37598 and 37617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37598 and 37617, than apply into the LCM equation.

GCF(37598,37617) = 1
LCM(37598,37617) = ( 37598 × 37617) / 1
LCM(37598,37617) = 1414323966 / 1
LCM(37598,37617) = 1414323966

Least Common Multiple (LCM) of 37598 and 37617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37598 and 37617. First we will calculate the prime factors of 37598 and 37617.

Prime Factorization of 37598

Prime Factorization of 37617

Now multiplying the highest exponent prime factors to calculate the LCM of 37598 and 37617.

LCM(37598,37617) = 2¹ × 11¹ × 1709¹ × 3¹ × 12539¹
LCM(37598,37617) = 1414323966