What is the Least Common Multiple of 81504 and 81524?

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 81504 and 81524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81504 and 81524, than apply into the LCM equation.

GCF(81504,81524) = 4
LCM(81504,81524) = ( 81504 × 81524) / 4
LCM(81504,81524) = 6644532096 / 4
LCM(81504,81524) = 1661133024

Least Common Multiple (LCM) of 81504 and 81524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81504 and 81524. First we will calculate the prime factors of 81504 and 81524.

Prime Factorization of 81504

Prime Factorization of 81524

Now multiplying the highest exponent prime factors to calculate the LCM of 81504 and 81524.

LCM(81504,81524) = 2⁵ × 3² × 283¹ × 89¹ × 229¹
LCM(81504,81524) = 1661133024