What is the Least Common Multiple of 3552 and 3567?

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 3552 and 3567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3552 and 3567, than apply into the LCM equation.

GCF(3552,3567) = 3
LCM(3552,3567) = ( 3552 × 3567) / 3
LCM(3552,3567) = 12669984 / 3
LCM(3552,3567) = 4223328

Least Common Multiple (LCM) of 3552 and 3567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3552 and 3567. First we will calculate the prime factors of 3552 and 3567.

Prime Factorization of 3552

Prime Factorization of 3567

Now multiplying the highest exponent prime factors to calculate the LCM of 3552 and 3567.

LCM(3552,3567) = 2⁵ × 3¹ × 37¹ × 29¹ × 41¹
LCM(3552,3567) = 4223328