What is the Least Common Multiple of 2258 and 2264?

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 2258 and 2264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2258 and 2264, than apply into the LCM equation.

GCF(2258,2264) = 2
LCM(2258,2264) = ( 2258 × 2264) / 2
LCM(2258,2264) = 5112112 / 2
LCM(2258,2264) = 2556056

Least Common Multiple (LCM) of 2258 and 2264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2258 and 2264. First we will calculate the prime factors of 2258 and 2264.

Prime Factorization of 2258

Prime Factorization of 2264

Now multiplying the highest exponent prime factors to calculate the LCM of 2258 and 2264.

LCM(2258,2264) = 2³ × 1129¹ × 283¹
LCM(2258,2264) = 2556056