What is the Least Common Multiple of 2238 and 2253?

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 2238 and 2253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2238 and 2253, than apply into the LCM equation.

GCF(2238,2253) = 3
LCM(2238,2253) = ( 2238 × 2253) / 3
LCM(2238,2253) = 5042214 / 3
LCM(2238,2253) = 1680738

Least Common Multiple (LCM) of 2238 and 2253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2238 and 2253. First we will calculate the prime factors of 2238 and 2253.

Prime Factorization of 2238

Prime Factorization of 2253

Now multiplying the highest exponent prime factors to calculate the LCM of 2238 and 2253.

LCM(2238,2253) = 2¹ × 3¹ × 373¹ × 751¹
LCM(2238,2253) = 1680738