What is the Least Common Multiple of 51428 and 51441?

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 51428 and 51441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51428 and 51441, than apply into the LCM equation.

GCF(51428,51441) = 13
LCM(51428,51441) = ( 51428 × 51441) / 13
LCM(51428,51441) = 2645507748 / 13
LCM(51428,51441) = 203500596

Least Common Multiple (LCM) of 51428 and 51441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51428 and 51441. First we will calculate the prime factors of 51428 and 51441.

Prime Factorization of 51428

Prime Factorization of 51441

Now multiplying the highest exponent prime factors to calculate the LCM of 51428 and 51441.

LCM(51428,51441) = 2² × 13¹ × 23¹ × 43¹ × 3¹ × 1319¹
LCM(51428,51441) = 203500596