What is the Least Common Multiple of 12242 and 12256?

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 12242 and 12256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12242 and 12256, than apply into the LCM equation.

GCF(12242,12256) = 2
LCM(12242,12256) = ( 12242 × 12256) / 2
LCM(12242,12256) = 150037952 / 2
LCM(12242,12256) = 75018976

Least Common Multiple (LCM) of 12242 and 12256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12242 and 12256. First we will calculate the prime factors of 12242 and 12256.

Prime Factorization of 12242

Prime Factorization of 12256

Now multiplying the highest exponent prime factors to calculate the LCM of 12242 and 12256.

LCM(12242,12256) = 2⁵ × 6121¹ × 383¹
LCM(12242,12256) = 75018976