What is the Least Common Multiple of 42528 and 42543?

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 42528 and 42543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42528 and 42543, than apply into the LCM equation.

GCF(42528,42543) = 3
LCM(42528,42543) = ( 42528 × 42543) / 3
LCM(42528,42543) = 1809268704 / 3
LCM(42528,42543) = 603089568

Least Common Multiple (LCM) of 42528 and 42543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42528 and 42543. First we will calculate the prime factors of 42528 and 42543.

Prime Factorization of 42528

Prime Factorization of 42543

Now multiplying the highest exponent prime factors to calculate the LCM of 42528 and 42543.

LCM(42528,42543) = 2⁵ × 3² × 443¹ × 29¹ × 163¹
LCM(42528,42543) = 603089568