What is the Least Common Multiple of 50570 and 50590?

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 50570 and 50590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50570 and 50590, than apply into the LCM equation.

GCF(50570,50590) = 10
LCM(50570,50590) = ( 50570 × 50590) / 10
LCM(50570,50590) = 2558336300 / 10
LCM(50570,50590) = 255833630

Least Common Multiple (LCM) of 50570 and 50590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50570 and 50590. First we will calculate the prime factors of 50570 and 50590.

Prime Factorization of 50570

Prime Factorization of 50590

Now multiplying the highest exponent prime factors to calculate the LCM of 50570 and 50590.

LCM(50570,50590) = 2¹ × 5¹ × 13¹ × 389¹ × 5059¹
LCM(50570,50590) = 255833630