What is the Least Common Multiple of 32520 and 32524?

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 32520 and 32524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32520 and 32524, than apply into the LCM equation.

GCF(32520,32524) = 4
LCM(32520,32524) = ( 32520 × 32524) / 4
LCM(32520,32524) = 1057680480 / 4
LCM(32520,32524) = 264420120

Least Common Multiple (LCM) of 32520 and 32524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32520 and 32524. First we will calculate the prime factors of 32520 and 32524.

Prime Factorization of 32520

Prime Factorization of 32524

Now multiplying the highest exponent prime factors to calculate the LCM of 32520 and 32524.

LCM(32520,32524) = 2³ × 3¹ × 5¹ × 271¹ × 47¹ × 173¹
LCM(32520,32524) = 264420120