What is the Least Common Multiple of 23136 and 23140?

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 23136 and 23140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23136 and 23140, than apply into the LCM equation.

GCF(23136,23140) = 4
LCM(23136,23140) = ( 23136 × 23140) / 4
LCM(23136,23140) = 535367040 / 4
LCM(23136,23140) = 133841760

Least Common Multiple (LCM) of 23136 and 23140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23136 and 23140. First we will calculate the prime factors of 23136 and 23140.

Prime Factorization of 23136

Prime Factorization of 23140

Now multiplying the highest exponent prime factors to calculate the LCM of 23136 and 23140.

LCM(23136,23140) = 2⁵ × 3¹ × 241¹ × 5¹ × 13¹ × 89¹
LCM(23136,23140) = 133841760