What is the Least Common Multiple of 50509 and 50517?

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 50509 and 50517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50509 and 50517, than apply into the LCM equation.

GCF(50509,50517) = 1
LCM(50509,50517) = ( 50509 × 50517) / 1
LCM(50509,50517) = 2551563153 / 1
LCM(50509,50517) = 2551563153

Least Common Multiple (LCM) of 50509 and 50517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50509 and 50517. First we will calculate the prime factors of 50509 and 50517.

Prime Factorization of 50509

Prime Factorization of 50517

Now multiplying the highest exponent prime factors to calculate the LCM of 50509 and 50517.

LCM(50509,50517) = 53¹ × 953¹ × 3³ × 1871¹
LCM(50509,50517) = 2551563153