What is the Least Common Multiple of 23418 and 23432?

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 23418 and 23432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23418 and 23432, than apply into the LCM equation.

GCF(23418,23432) = 2
LCM(23418,23432) = ( 23418 × 23432) / 2
LCM(23418,23432) = 548730576 / 2
LCM(23418,23432) = 274365288

Least Common Multiple (LCM) of 23418 and 23432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23418 and 23432. First we will calculate the prime factors of 23418 and 23432.

Prime Factorization of 23418

Prime Factorization of 23432

Now multiplying the highest exponent prime factors to calculate the LCM of 23418 and 23432.

LCM(23418,23432) = 2³ × 3² × 1301¹ × 29¹ × 101¹
LCM(23418,23432) = 274365288