What is the Least Common Multiple of 72528 and 72543?

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 72528 and 72543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72528 and 72543, than apply into the LCM equation.

GCF(72528,72543) = 3
LCM(72528,72543) = ( 72528 × 72543) / 3
LCM(72528,72543) = 5261398704 / 3
LCM(72528,72543) = 1753799568

Least Common Multiple (LCM) of 72528 and 72543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72528 and 72543. First we will calculate the prime factors of 72528 and 72543.

Prime Factorization of 72528

Prime Factorization of 72543

Now multiplying the highest exponent prime factors to calculate the LCM of 72528 and 72543.

LCM(72528,72543) = 2⁴ × 3¹ × 1511¹ × 24181¹
LCM(72528,72543) = 1753799568