What is the Least Common Multiple of 23982 and 23992?

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 23982 and 23992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23982 and 23992, than apply into the LCM equation.

GCF(23982,23992) = 2
LCM(23982,23992) = ( 23982 × 23992) / 2
LCM(23982,23992) = 575376144 / 2
LCM(23982,23992) = 287688072

Least Common Multiple (LCM) of 23982 and 23992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23982 and 23992. First we will calculate the prime factors of 23982 and 23992.

Prime Factorization of 23982

Prime Factorization of 23992

Now multiplying the highest exponent prime factors to calculate the LCM of 23982 and 23992.

LCM(23982,23992) = 2³ × 3¹ × 7¹ × 571¹ × 2999¹
LCM(23982,23992) = 287688072