What is the Least Common Multiple of 24144 and 24156?

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 24144 and 24156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24144 and 24156, than apply into the LCM equation.

GCF(24144,24156) = 12
LCM(24144,24156) = ( 24144 × 24156) / 12
LCM(24144,24156) = 583222464 / 12
LCM(24144,24156) = 48601872

Least Common Multiple (LCM) of 24144 and 24156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24144 and 24156. First we will calculate the prime factors of 24144 and 24156.

Prime Factorization of 24144

Prime Factorization of 24156

Now multiplying the highest exponent prime factors to calculate the LCM of 24144 and 24156.

LCM(24144,24156) = 2⁴ × 3² × 503¹ × 11¹ × 61¹
LCM(24144,24156) = 48601872