What is the Least Common Multiple of 50305 and 50310?

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 50305 and 50310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50305 and 50310, than apply into the LCM equation.

GCF(50305,50310) = 5
LCM(50305,50310) = ( 50305 × 50310) / 5
LCM(50305,50310) = 2530844550 / 5
LCM(50305,50310) = 506168910

Least Common Multiple (LCM) of 50305 and 50310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50305 and 50310. First we will calculate the prime factors of 50305 and 50310.

Prime Factorization of 50305

Prime Factorization of 50310

Now multiplying the highest exponent prime factors to calculate the LCM of 50305 and 50310.

LCM(50305,50310) = 5¹ × 10061¹ × 2¹ × 3² × 13¹ × 43¹
LCM(50305,50310) = 506168910