What is the Least Common Multiple of 50210 and 50228?

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 50210 and 50228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50210 and 50228, than apply into the LCM equation.

GCF(50210,50228) = 2
LCM(50210,50228) = ( 50210 × 50228) / 2
LCM(50210,50228) = 2521947880 / 2
LCM(50210,50228) = 1260973940

Least Common Multiple (LCM) of 50210 and 50228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50210 and 50228. First we will calculate the prime factors of 50210 and 50228.

Prime Factorization of 50210

Prime Factorization of 50228

Now multiplying the highest exponent prime factors to calculate the LCM of 50210 and 50228.

LCM(50210,50228) = 2² × 5¹ × 5021¹ × 29¹ × 433¹
LCM(50210,50228) = 1260973940