What is the Least Common Multiple of 2234 and 2238?

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 2234 and 2238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2234 and 2238, than apply into the LCM equation.

GCF(2234,2238) = 2
LCM(2234,2238) = ( 2234 × 2238) / 2
LCM(2234,2238) = 4999692 / 2
LCM(2234,2238) = 2499846

Least Common Multiple (LCM) of 2234 and 2238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2234 and 2238. First we will calculate the prime factors of 2234 and 2238.

Prime Factorization of 2234

Prime Factorization of 2238

Now multiplying the highest exponent prime factors to calculate the LCM of 2234 and 2238.

LCM(2234,2238) = 2¹ × 1117¹ × 3¹ × 373¹
LCM(2234,2238) = 2499846