What is the Least Common Multiple of 79609 and 79618?

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 79609 and 79618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79609 and 79618, than apply into the LCM equation.

GCF(79609,79618) = 1
LCM(79609,79618) = ( 79609 × 79618) / 1
LCM(79609,79618) = 6338309362 / 1
LCM(79609,79618) = 6338309362

Least Common Multiple (LCM) of 79609 and 79618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79609 and 79618. First we will calculate the prime factors of 79609 and 79618.

Prime Factorization of 79609

Prime Factorization of 79618

Now multiplying the highest exponent prime factors to calculate the LCM of 79609 and 79618.

LCM(79609,79618) = 79609¹ × 2¹ × 7¹ × 11² × 47¹
LCM(79609,79618) = 6338309362