What is the Least Common Multiple of 50778 and 50784?

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 50778 and 50784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50778 and 50784, than apply into the LCM equation.

GCF(50778,50784) = 6
LCM(50778,50784) = ( 50778 × 50784) / 6
LCM(50778,50784) = 2578709952 / 6
LCM(50778,50784) = 429784992

Least Common Multiple (LCM) of 50778 and 50784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50778 and 50784. First we will calculate the prime factors of 50778 and 50784.

Prime Factorization of 50778

Prime Factorization of 50784

Now multiplying the highest exponent prime factors to calculate the LCM of 50778 and 50784.

LCM(50778,50784) = 2⁵ × 3² × 7¹ × 13¹ × 31¹ × 23²
LCM(50778,50784) = 429784992