What is the Least Common Multiple of 2280 and 2299?

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 2280 and 2299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2280 and 2299, than apply into the LCM equation.

GCF(2280,2299) = 19
LCM(2280,2299) = ( 2280 × 2299) / 19
LCM(2280,2299) = 5241720 / 19
LCM(2280,2299) = 275880

Least Common Multiple (LCM) of 2280 and 2299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2280 and 2299. First we will calculate the prime factors of 2280 and 2299.

Prime Factorization of 2280

Prime Factorization of 2299

Now multiplying the highest exponent prime factors to calculate the LCM of 2280 and 2299.

LCM(2280,2299) = 2³ × 3¹ × 5¹ × 19¹ × 11²
LCM(2280,2299) = 275880