What is the Least Common Multiple of 50784 and 50794?

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 50794 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 50794, than apply into the LCM equation.

GCF(50784,50794) = 2
LCM(50784,50794) = ( 50784 × 50794) / 2
LCM(50784,50794) = 2579522496 / 2
LCM(50784,50794) = 1289761248

Least Common Multiple (LCM) of 50784 and 50794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50784 and 50794. First we will calculate the prime factors of 50784 and 50794.

Prime Factorization of 50784

Prime Factorization of 50794

Now multiplying the highest exponent prime factors to calculate the LCM of 50784 and 50794.

LCM(50784,50794) = 2⁵ × 3¹ × 23² × 109¹ × 233¹
LCM(50784,50794) = 1289761248