What is the Least Common Multiple of 50835 and 50853?

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 50835 and 50853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50835 and 50853, than apply into the LCM equation.

GCF(50835,50853) = 3
LCM(50835,50853) = ( 50835 × 50853) / 3
LCM(50835,50853) = 2585112255 / 3
LCM(50835,50853) = 861704085

Least Common Multiple (LCM) of 50835 and 50853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50835 and 50853. First we will calculate the prime factors of 50835 and 50853.

Prime Factorization of 50835

Prime Factorization of 50853

Now multiplying the highest exponent prime factors to calculate the LCM of 50835 and 50853.

LCM(50835,50853) = 3¹ × 5¹ × 3389¹ × 11¹ × 23¹ × 67¹
LCM(50835,50853) = 861704085