What is the Least Common Multiple of 32538 and 32544?

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 32538 and 32544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32538 and 32544, than apply into the LCM equation.

GCF(32538,32544) = 6
LCM(32538,32544) = ( 32538 × 32544) / 6
LCM(32538,32544) = 1058916672 / 6
LCM(32538,32544) = 176486112

Least Common Multiple (LCM) of 32538 and 32544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32538 and 32544. First we will calculate the prime factors of 32538 and 32544.

Prime Factorization of 32538

Prime Factorization of 32544

Now multiplying the highest exponent prime factors to calculate the LCM of 32538 and 32544.

LCM(32538,32544) = 2⁵ × 3² × 11¹ × 17¹ × 29¹ × 113¹
LCM(32538,32544) = 176486112