What is the Least Common Multiple of 23110 and 23124?

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 23110 and 23124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23110 and 23124, than apply into the LCM equation.

GCF(23110,23124) = 2
LCM(23110,23124) = ( 23110 × 23124) / 2
LCM(23110,23124) = 534395640 / 2
LCM(23110,23124) = 267197820

Least Common Multiple (LCM) of 23110 and 23124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23110 and 23124. First we will calculate the prime factors of 23110 and 23124.

Prime Factorization of 23110

Prime Factorization of 23124

Now multiplying the highest exponent prime factors to calculate the LCM of 23110 and 23124.

LCM(23110,23124) = 2² × 5¹ × 2311¹ × 3¹ × 41¹ × 47¹
LCM(23110,23124) = 267197820