What is the Least Common Multiple of 23076 and 23088?

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 23076 and 23088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23076 and 23088, than apply into the LCM equation.

GCF(23076,23088) = 12
LCM(23076,23088) = ( 23076 × 23088) / 12
LCM(23076,23088) = 532778688 / 12
LCM(23076,23088) = 44398224

Least Common Multiple (LCM) of 23076 and 23088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23076 and 23088. First we will calculate the prime factors of 23076 and 23088.

Prime Factorization of 23076

Prime Factorization of 23088

Now multiplying the highest exponent prime factors to calculate the LCM of 23076 and 23088.

LCM(23076,23088) = 2⁴ × 3² × 641¹ × 13¹ × 37¹
LCM(23076,23088) = 44398224