What is the Least Common Multiple of 24492 and 24501?

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 24492 and 24501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24492 and 24501, than apply into the LCM equation.

GCF(24492,24501) = 3
LCM(24492,24501) = ( 24492 × 24501) / 3
LCM(24492,24501) = 600078492 / 3
LCM(24492,24501) = 200026164

Least Common Multiple (LCM) of 24492 and 24501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24492 and 24501. First we will calculate the prime factors of 24492 and 24501.

Prime Factorization of 24492

Prime Factorization of 24501

Now multiplying the highest exponent prime factors to calculate the LCM of 24492 and 24501.

LCM(24492,24501) = 2² × 3¹ × 13¹ × 157¹ × 8167¹
LCM(24492,24501) = 200026164