What is the Least Common Multiple of 12224 and 12236?

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 12224 and 12236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12224 and 12236, than apply into the LCM equation.

GCF(12224,12236) = 4
LCM(12224,12236) = ( 12224 × 12236) / 4
LCM(12224,12236) = 149572864 / 4
LCM(12224,12236) = 37393216

Least Common Multiple (LCM) of 12224 and 12236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12224 and 12236. First we will calculate the prime factors of 12224 and 12236.

Prime Factorization of 12224

Prime Factorization of 12236

Now multiplying the highest exponent prime factors to calculate the LCM of 12224 and 12236.

LCM(12224,12236) = 2⁶ × 191¹ × 7¹ × 19¹ × 23¹
LCM(12224,12236) = 37393216