What is the Least Common Multiple of 24503 and 24523?

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 24503 and 24523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24503 and 24523, than apply into the LCM equation.

GCF(24503,24523) = 1
LCM(24503,24523) = ( 24503 × 24523) / 1
LCM(24503,24523) = 600887069 / 1
LCM(24503,24523) = 600887069

Least Common Multiple (LCM) of 24503 and 24523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24503 and 24523. First we will calculate the prime factors of 24503 and 24523.

Prime Factorization of 24503

Prime Factorization of 24523

Now multiplying the highest exponent prime factors to calculate the LCM of 24503 and 24523.

LCM(24503,24523) = 107¹ × 229¹ × 137¹ × 179¹
LCM(24503,24523) = 600887069