What is the Least Common Multiple of 50845 and 50862?

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 50845 and 50862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50845 and 50862, than apply into the LCM equation.

GCF(50845,50862) = 1
LCM(50845,50862) = ( 50845 × 50862) / 1
LCM(50845,50862) = 2586078390 / 1
LCM(50845,50862) = 2586078390

Least Common Multiple (LCM) of 50845 and 50862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50845 and 50862. First we will calculate the prime factors of 50845 and 50862.

Prime Factorization of 50845

Prime Factorization of 50862

Now multiplying the highest exponent prime factors to calculate the LCM of 50845 and 50862.

LCM(50845,50862) = 5¹ × 10169¹ × 2¹ × 3¹ × 7² × 173¹
LCM(50845,50862) = 2586078390