What is the Least Common Multiple of 5565 and 5580?

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 5565 and 5580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5565 and 5580, than apply into the LCM equation.

GCF(5565,5580) = 15
LCM(5565,5580) = ( 5565 × 5580) / 15
LCM(5565,5580) = 31052700 / 15
LCM(5565,5580) = 2070180

Least Common Multiple (LCM) of 5565 and 5580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5565 and 5580. First we will calculate the prime factors of 5565 and 5580.

Prime Factorization of 5565

Prime Factorization of 5580

Now multiplying the highest exponent prime factors to calculate the LCM of 5565 and 5580.

LCM(5565,5580) = 3² × 5¹ × 7¹ × 53¹ × 2² × 31¹
LCM(5565,5580) = 2070180