What is the Least Common Multiple of 12224 and 12242?

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 12242 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 12242, than apply into the LCM equation.

GCF(12224,12242) = 2
LCM(12224,12242) = ( 12224 × 12242) / 2
LCM(12224,12242) = 149646208 / 2
LCM(12224,12242) = 74823104

Least Common Multiple (LCM) of 12224 and 12242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12224 and 12242. First we will calculate the prime factors of 12224 and 12242.

Prime Factorization of 12224

Prime Factorization of 12242

Now multiplying the highest exponent prime factors to calculate the LCM of 12224 and 12242.

LCM(12224,12242) = 2⁶ × 191¹ × 6121¹
LCM(12224,12242) = 74823104