What is the Least Common Multiple of 2224 and 2236?

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 2236 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 2236, than apply into the LCM equation.

GCF(2224,2236) = 4
LCM(2224,2236) = ( 2224 × 2236) / 4
LCM(2224,2236) = 4972864 / 4
LCM(2224,2236) = 1243216

Least Common Multiple (LCM) of 2224 and 2236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2224 and 2236. First we will calculate the prime factors of 2224 and 2236.

Prime Factorization of 2224

Prime Factorization of 2236

Now multiplying the highest exponent prime factors to calculate the LCM of 2224 and 2236.

LCM(2224,2236) = 2⁴ × 139¹ × 13¹ × 43¹
LCM(2224,2236) = 1243216