What is the Least Common Multiple of 24135 and 24144?

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 24135 and 24144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24135 and 24144, than apply into the LCM equation.

GCF(24135,24144) = 3
LCM(24135,24144) = ( 24135 × 24144) / 3
LCM(24135,24144) = 582715440 / 3
LCM(24135,24144) = 194238480

Least Common Multiple (LCM) of 24135 and 24144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24135 and 24144. First we will calculate the prime factors of 24135 and 24144.

Prime Factorization of 24135

Prime Factorization of 24144

Now multiplying the highest exponent prime factors to calculate the LCM of 24135 and 24144.

LCM(24135,24144) = 3¹ × 5¹ × 1609¹ × 2⁴ × 503¹
LCM(24135,24144) = 194238480