What is the Least Common Multiple of 2270 and 2280?

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 2270 and 2280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2270 and 2280, than apply into the LCM equation.

GCF(2270,2280) = 10
LCM(2270,2280) = ( 2270 × 2280) / 10
LCM(2270,2280) = 5175600 / 10
LCM(2270,2280) = 517560

Least Common Multiple (LCM) of 2270 and 2280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2270 and 2280. First we will calculate the prime factors of 2270 and 2280.

Prime Factorization of 2270

Prime Factorization of 2280

Now multiplying the highest exponent prime factors to calculate the LCM of 2270 and 2280.

LCM(2270,2280) = 2³ × 5¹ × 227¹ × 3¹ × 19¹
LCM(2270,2280) = 517560