What is the Least Common Multiple of 23958 and 23962?

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 23958 and 23962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23958 and 23962, than apply into the LCM equation.

GCF(23958,23962) = 2
LCM(23958,23962) = ( 23958 × 23962) / 2
LCM(23958,23962) = 574081596 / 2
LCM(23958,23962) = 287040798

Least Common Multiple (LCM) of 23958 and 23962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23958 and 23962. First we will calculate the prime factors of 23958 and 23962.

Prime Factorization of 23958

Prime Factorization of 23962

Now multiplying the highest exponent prime factors to calculate the LCM of 23958 and 23962.

LCM(23958,23962) = 2¹ × 3² × 11³ × 11981¹
LCM(23958,23962) = 287040798