What is the Least Common Multiple of 50500 and 50519?

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 50500 and 50519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50500 and 50519, than apply into the LCM equation.

GCF(50500,50519) = 1
LCM(50500,50519) = ( 50500 × 50519) / 1
LCM(50500,50519) = 2551209500 / 1
LCM(50500,50519) = 2551209500

Least Common Multiple (LCM) of 50500 and 50519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50500 and 50519. First we will calculate the prime factors of 50500 and 50519.

Prime Factorization of 50500

Prime Factorization of 50519

Now multiplying the highest exponent prime factors to calculate the LCM of 50500 and 50519.

LCM(50500,50519) = 2² × 5³ × 101¹ × 7² × 1031¹
LCM(50500,50519) = 2551209500