What is the Least Common Multiple of 50878 and 50896?

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 50878 and 50896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50878 and 50896, than apply into the LCM equation.

GCF(50878,50896) = 2
LCM(50878,50896) = ( 50878 × 50896) / 2
LCM(50878,50896) = 2589486688 / 2
LCM(50878,50896) = 1294743344

Least Common Multiple (LCM) of 50878 and 50896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50878 and 50896. First we will calculate the prime factors of 50878 and 50896.

Prime Factorization of 50878

Prime Factorization of 50896

Now multiplying the highest exponent prime factors to calculate the LCM of 50878 and 50896.

LCM(50878,50896) = 2⁴ × 25439¹ × 3181¹
LCM(50878,50896) = 1294743344