What is the Least Common Multiple of 50576 and 50586?

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 50576 and 50586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50576 and 50586, than apply into the LCM equation.

GCF(50576,50586) = 2
LCM(50576,50586) = ( 50576 × 50586) / 2
LCM(50576,50586) = 2558437536 / 2
LCM(50576,50586) = 1279218768

Least Common Multiple (LCM) of 50576 and 50586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50576 and 50586. First we will calculate the prime factors of 50576 and 50586.

Prime Factorization of 50576

Prime Factorization of 50586

Now multiplying the highest exponent prime factors to calculate the LCM of 50576 and 50586.

LCM(50576,50586) = 2⁴ × 29¹ × 109¹ × 3¹ × 8431¹
LCM(50576,50586) = 1279218768