What is the Least Common Multiple of 12428 and 12442?

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 12428 and 12442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12428 and 12442, than apply into the LCM equation.

GCF(12428,12442) = 2
LCM(12428,12442) = ( 12428 × 12442) / 2
LCM(12428,12442) = 154629176 / 2
LCM(12428,12442) = 77314588

Least Common Multiple (LCM) of 12428 and 12442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12428 and 12442. First we will calculate the prime factors of 12428 and 12442.

Prime Factorization of 12428

Prime Factorization of 12442

Now multiplying the highest exponent prime factors to calculate the LCM of 12428 and 12442.

LCM(12428,12442) = 2² × 13¹ × 239¹ × 6221¹
LCM(12428,12442) = 77314588