What is the Least Common Multiple of 39598 and 39618?

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 39598 and 39618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39598 and 39618, than apply into the LCM equation.

GCF(39598,39618) = 2
LCM(39598,39618) = ( 39598 × 39618) / 2
LCM(39598,39618) = 1568793564 / 2
LCM(39598,39618) = 784396782

Least Common Multiple (LCM) of 39598 and 39618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39598 and 39618. First we will calculate the prime factors of 39598 and 39618.

Prime Factorization of 39598

Prime Factorization of 39618

Now multiplying the highest exponent prime factors to calculate the LCM of 39598 and 39618.

LCM(39598,39618) = 2¹ × 13¹ × 1523¹ × 3² × 31¹ × 71¹
LCM(39598,39618) = 784396782