What is the Least Common Multiple of 3567 and 3576?

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 3567 and 3576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3567 and 3576, than apply into the LCM equation.

GCF(3567,3576) = 3
LCM(3567,3576) = ( 3567 × 3576) / 3
LCM(3567,3576) = 12755592 / 3
LCM(3567,3576) = 4251864

Least Common Multiple (LCM) of 3567 and 3576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3567 and 3576. First we will calculate the prime factors of 3567 and 3576.

Prime Factorization of 3567

Prime Factorization of 3576

Now multiplying the highest exponent prime factors to calculate the LCM of 3567 and 3576.

LCM(3567,3576) = 3¹ × 29¹ × 41¹ × 2³ × 149¹
LCM(3567,3576) = 4251864