What is the Least Common Multiple of 12428 and 12441?

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 12441 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 12441, than apply into the LCM equation.

GCF(12428,12441) = 13
LCM(12428,12441) = ( 12428 × 12441) / 13
LCM(12428,12441) = 154616748 / 13
LCM(12428,12441) = 11893596

Least Common Multiple (LCM) of 12428 and 12441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12428 and 12441. First we will calculate the prime factors of 12428 and 12441.

Prime Factorization of 12428

Prime Factorization of 12441

Now multiplying the highest exponent prime factors to calculate the LCM of 12428 and 12441.

LCM(12428,12441) = 2² × 13¹ × 239¹ × 3¹ × 11¹ × 29¹
LCM(12428,12441) = 11893596