What is the Least Common Multiple of 23152 and 23158?

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 23152 and 23158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23152 and 23158, than apply into the LCM equation.

GCF(23152,23158) = 2
LCM(23152,23158) = ( 23152 × 23158) / 2
LCM(23152,23158) = 536154016 / 2
LCM(23152,23158) = 268077008

Least Common Multiple (LCM) of 23152 and 23158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23152 and 23158. First we will calculate the prime factors of 23152 and 23158.

Prime Factorization of 23152

Prime Factorization of 23158

Now multiplying the highest exponent prime factors to calculate the LCM of 23152 and 23158.

LCM(23152,23158) = 2⁴ × 1447¹ × 11579¹
LCM(23152,23158) = 268077008