What is the Least Common Multiple of 50895 and 50913?

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 50895 and 50913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50895 and 50913, than apply into the LCM equation.

GCF(50895,50913) = 9
LCM(50895,50913) = ( 50895 × 50913) / 9
LCM(50895,50913) = 2591217135 / 9
LCM(50895,50913) = 287913015

Least Common Multiple (LCM) of 50895 and 50913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50895 and 50913. First we will calculate the prime factors of 50895 and 50913.

Prime Factorization of 50895

Prime Factorization of 50913

Now multiplying the highest exponent prime factors to calculate the LCM of 50895 and 50913.

LCM(50895,50913) = 3³ × 5¹ × 13¹ × 29¹ × 5657¹
LCM(50895,50913) = 287913015