What is the Least Common Multiple of 2224 and 2234?

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 2224 and 2234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2224 and 2234, than apply into the LCM equation.

GCF(2224,2234) = 2
LCM(2224,2234) = ( 2224 × 2234) / 2
LCM(2224,2234) = 4968416 / 2
LCM(2224,2234) = 2484208

Least Common Multiple (LCM) of 2224 and 2234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2224 and 2234. First we will calculate the prime factors of 2224 and 2234.

Prime Factorization of 2224

Prime Factorization of 2234

Now multiplying the highest exponent prime factors to calculate the LCM of 2224 and 2234.

LCM(2224,2234) = 2⁴ × 139¹ × 1117¹
LCM(2224,2234) = 2484208