What is the Least Common Multiple of 50805 and 50817?

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 50805 and 50817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50805 and 50817, than apply into the LCM equation.

GCF(50805,50817) = 3
LCM(50805,50817) = ( 50805 × 50817) / 3
LCM(50805,50817) = 2581757685 / 3
LCM(50805,50817) = 860585895

Least Common Multiple (LCM) of 50805 and 50817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50805 and 50817. First we will calculate the prime factors of 50805 and 50817.

Prime Factorization of 50805

Prime Factorization of 50817

Now multiplying the highest exponent prime factors to calculate the LCM of 50805 and 50817.

LCM(50805,50817) = 3² × 5¹ × 1129¹ × 13¹ × 1303¹
LCM(50805,50817) = 860585895