What is the Least Common Multiple of 24156 and 24171?

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 24156 and 24171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24156 and 24171, than apply into the LCM equation.

GCF(24156,24171) = 3
LCM(24156,24171) = ( 24156 × 24171) / 3
LCM(24156,24171) = 583874676 / 3
LCM(24156,24171) = 194624892

Least Common Multiple (LCM) of 24156 and 24171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24156 and 24171. First we will calculate the prime factors of 24156 and 24171.

Prime Factorization of 24156

Prime Factorization of 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 24156 and 24171.

LCM(24156,24171) = 2² × 3² × 11¹ × 61¹ × 7¹ × 1151¹
LCM(24156,24171) = 194624892