What is the Least Common Multiple of 50784 and 50798?

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 50784 and 50798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50784 and 50798, than apply into the LCM equation.

GCF(50784,50798) = 2
LCM(50784,50798) = ( 50784 × 50798) / 2
LCM(50784,50798) = 2579725632 / 2
LCM(50784,50798) = 1289862816

Least Common Multiple (LCM) of 50784 and 50798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50784 and 50798. First we will calculate the prime factors of 50784 and 50798.

Prime Factorization of 50784

Prime Factorization of 50798

Now multiplying the highest exponent prime factors to calculate the LCM of 50784 and 50798.

LCM(50784,50798) = 2⁵ × 3¹ × 23² × 11¹ × 2309¹
LCM(50784,50798) = 1289862816