What is the Least Common Multiple of 24528 and 24543?

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 24528 and 24543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24528 and 24543, than apply into the LCM equation.

GCF(24528,24543) = 3
LCM(24528,24543) = ( 24528 × 24543) / 3
LCM(24528,24543) = 601990704 / 3
LCM(24528,24543) = 200663568

Least Common Multiple (LCM) of 24528 and 24543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24528 and 24543. First we will calculate the prime factors of 24528 and 24543.

Prime Factorization of 24528

Prime Factorization of 24543

Now multiplying the highest exponent prime factors to calculate the LCM of 24528 and 24543.

LCM(24528,24543) = 2⁴ × 3⁵ × 7¹ × 73¹ × 101¹
LCM(24528,24543) = 200663568