What is the Least Common Multiple of 50590 and 50605?

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 50590 and 50605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50590 and 50605, than apply into the LCM equation.

GCF(50590,50605) = 5
LCM(50590,50605) = ( 50590 × 50605) / 5
LCM(50590,50605) = 2560106950 / 5
LCM(50590,50605) = 512021390

Least Common Multiple (LCM) of 50590 and 50605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50590 and 50605. First we will calculate the prime factors of 50590 and 50605.

Prime Factorization of 50590

Prime Factorization of 50605

Now multiplying the highest exponent prime factors to calculate the LCM of 50590 and 50605.

LCM(50590,50605) = 2¹ × 5¹ × 5059¹ × 29¹ × 349¹
LCM(50590,50605) = 512021390