What is the Least Common Multiple of 3549 and 3564?

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 3549 and 3564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3549 and 3564, than apply into the LCM equation.

GCF(3549,3564) = 3
LCM(3549,3564) = ( 3549 × 3564) / 3
LCM(3549,3564) = 12648636 / 3
LCM(3549,3564) = 4216212

Least Common Multiple (LCM) of 3549 and 3564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3549 and 3564. First we will calculate the prime factors of 3549 and 3564.

Prime Factorization of 3549

Prime Factorization of 3564

Now multiplying the highest exponent prime factors to calculate the LCM of 3549 and 3564.

LCM(3549,3564) = 3⁴ × 7¹ × 13² × 2² × 11¹
LCM(3549,3564) = 4216212