What is the Least Common Multiple of 2220 and 2225?

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 2220 and 2225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2220 and 2225, than apply into the LCM equation.

GCF(2220,2225) = 5
LCM(2220,2225) = ( 2220 × 2225) / 5
LCM(2220,2225) = 4939500 / 5
LCM(2220,2225) = 987900

Least Common Multiple (LCM) of 2220 and 2225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2220 and 2225. First we will calculate the prime factors of 2220 and 2225.

Prime Factorization of 2220

Prime Factorization of 2225

Now multiplying the highest exponent prime factors to calculate the LCM of 2220 and 2225.

LCM(2220,2225) = 2² × 3¹ × 5² × 37¹ × 89¹
LCM(2220,2225) = 987900