What is the Least Common Multiple of 24523 and 24531?

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 24523 and 24531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24523 and 24531, than apply into the LCM equation.

GCF(24523,24531) = 1
LCM(24523,24531) = ( 24523 × 24531) / 1
LCM(24523,24531) = 601573713 / 1
LCM(24523,24531) = 601573713

Least Common Multiple (LCM) of 24523 and 24531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24523 and 24531. First we will calculate the prime factors of 24523 and 24531.

Prime Factorization of 24523

Prime Factorization of 24531

Now multiplying the highest exponent prime factors to calculate the LCM of 24523 and 24531.

LCM(24523,24531) = 137¹ × 179¹ × 3¹ × 13¹ × 17¹ × 37¹
LCM(24523,24531) = 601573713