What is the Least Common Multiple of 2278 and 2288?

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 2278 and 2288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2278 and 2288, than apply into the LCM equation.

GCF(2278,2288) = 2
LCM(2278,2288) = ( 2278 × 2288) / 2
LCM(2278,2288) = 5212064 / 2
LCM(2278,2288) = 2606032

Least Common Multiple (LCM) of 2278 and 2288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2278 and 2288. First we will calculate the prime factors of 2278 and 2288.

Prime Factorization of 2278

Prime Factorization of 2288

Now multiplying the highest exponent prime factors to calculate the LCM of 2278 and 2288.

LCM(2278,2288) = 2⁴ × 17¹ × 67¹ × 11¹ × 13¹
LCM(2278,2288) = 2606032