What is the Least Common Multiple of 6504 and 6524?

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 6504 and 6524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6504 and 6524, than apply into the LCM equation.

GCF(6504,6524) = 4
LCM(6504,6524) = ( 6504 × 6524) / 4
LCM(6504,6524) = 42432096 / 4
LCM(6504,6524) = 10608024

Least Common Multiple (LCM) of 6504 and 6524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6504 and 6524. First we will calculate the prime factors of 6504 and 6524.

Prime Factorization of 6504

Prime Factorization of 6524

Now multiplying the highest exponent prime factors to calculate the LCM of 6504 and 6524.

LCM(6504,6524) = 2³ × 3¹ × 271¹ × 7¹ × 233¹
LCM(6504,6524) = 10608024