What is the Least Common Multiple of 24479 and 24492?

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 24479 and 24492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24479 and 24492, than apply into the LCM equation.

GCF(24479,24492) = 13
LCM(24479,24492) = ( 24479 × 24492) / 13
LCM(24479,24492) = 599539668 / 13
LCM(24479,24492) = 46118436

Least Common Multiple (LCM) of 24479 and 24492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24479 and 24492. First we will calculate the prime factors of 24479 and 24492.

Prime Factorization of 24479

Prime Factorization of 24492

Now multiplying the highest exponent prime factors to calculate the LCM of 24479 and 24492.

LCM(24479,24492) = 7¹ × 13¹ × 269¹ × 2² × 3¹ × 157¹
LCM(24479,24492) = 46118436