What is the Least Common Multiple of 50804 and 50810?

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 50804 and 50810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50804 and 50810, than apply into the LCM equation.

GCF(50804,50810) = 2
LCM(50804,50810) = ( 50804 × 50810) / 2
LCM(50804,50810) = 2581351240 / 2
LCM(50804,50810) = 1290675620

Least Common Multiple (LCM) of 50804 and 50810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50804 and 50810. First we will calculate the prime factors of 50804 and 50810.

Prime Factorization of 50804

Prime Factorization of 50810

Now multiplying the highest exponent prime factors to calculate the LCM of 50804 and 50810.

LCM(50804,50810) = 2² × 13¹ × 977¹ × 5¹ × 5081¹
LCM(50804,50810) = 1290675620