What is the Least Common Multiple of 42609 and 42618?

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 42609 and 42618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42609 and 42618, than apply into the LCM equation.

GCF(42609,42618) = 3
LCM(42609,42618) = ( 42609 × 42618) / 3
LCM(42609,42618) = 1815910362 / 3
LCM(42609,42618) = 605303454

Least Common Multiple (LCM) of 42609 and 42618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42609 and 42618. First we will calculate the prime factors of 42609 and 42618.

Prime Factorization of 42609

Prime Factorization of 42618

Now multiplying the highest exponent prime factors to calculate the LCM of 42609 and 42618.

LCM(42609,42618) = 3¹ × 7¹ × 2029¹ × 2¹ × 7103¹
LCM(42609,42618) = 605303454