What is the Least Common Multiple of 5544 and 5564?

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 5544 and 5564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5544 and 5564, than apply into the LCM equation.

GCF(5544,5564) = 4
LCM(5544,5564) = ( 5544 × 5564) / 4
LCM(5544,5564) = 30846816 / 4
LCM(5544,5564) = 7711704

Least Common Multiple (LCM) of 5544 and 5564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5544 and 5564. First we will calculate the prime factors of 5544 and 5564.

Prime Factorization of 5544

Prime Factorization of 5564

Now multiplying the highest exponent prime factors to calculate the LCM of 5544 and 5564.

LCM(5544,5564) = 2³ × 3² × 7¹ × 11¹ × 13¹ × 107¹
LCM(5544,5564) = 7711704