What is the Least Common Multiple of 50519 and 50537?

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 50519 and 50537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50519 and 50537, than apply into the LCM equation.

GCF(50519,50537) = 1
LCM(50519,50537) = ( 50519 × 50537) / 1
LCM(50519,50537) = 2553078703 / 1
LCM(50519,50537) = 2553078703

Least Common Multiple (LCM) of 50519 and 50537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50519 and 50537. First we will calculate the prime factors of 50519 and 50537.

Prime Factorization of 50519

Prime Factorization of 50537

Now multiplying the highest exponent prime factors to calculate the LCM of 50519 and 50537.

LCM(50519,50537) = 7² × 1031¹ × 97¹ × 521¹
LCM(50519,50537) = 2553078703