What is the Least Common Multiple of 50645 and 50665?

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 50645 and 50665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50645 and 50665, than apply into the LCM equation.

GCF(50645,50665) = 5
LCM(50645,50665) = ( 50645 × 50665) / 5
LCM(50645,50665) = 2565928925 / 5
LCM(50645,50665) = 513185785

Least Common Multiple (LCM) of 50645 and 50665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50645 and 50665. First we will calculate the prime factors of 50645 and 50665.

Prime Factorization of 50645

Prime Factorization of 50665

Now multiplying the highest exponent prime factors to calculate the LCM of 50645 and 50665.

LCM(50645,50665) = 5¹ × 7¹ × 1447¹ × 10133¹
LCM(50645,50665) = 513185785