What is the Least Common Multiple of 50519 and 50535?

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 50535 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 50535, than apply into the LCM equation.

GCF(50519,50535) = 1
LCM(50519,50535) = ( 50519 × 50535) / 1
LCM(50519,50535) = 2552977665 / 1
LCM(50519,50535) = 2552977665

Least Common Multiple (LCM) of 50519 and 50535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50519 and 50535. First we will calculate the prime factors of 50519 and 50535.

Prime Factorization of 50519

Prime Factorization of 50535

Now multiplying the highest exponent prime factors to calculate the LCM of 50519 and 50535.

LCM(50519,50535) = 7² × 1031¹ × 3² × 5¹ × 1123¹
LCM(50519,50535) = 2552977665