What is the Least Common Multiple of 50848 and 50852?

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 50848 and 50852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50848 and 50852, than apply into the LCM equation.

GCF(50848,50852) = 4
LCM(50848,50852) = ( 50848 × 50852) / 4
LCM(50848,50852) = 2585722496 / 4
LCM(50848,50852) = 646430624

Least Common Multiple (LCM) of 50848 and 50852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50848 and 50852. First we will calculate the prime factors of 50848 and 50852.

Prime Factorization of 50848

Prime Factorization of 50852

Now multiplying the highest exponent prime factors to calculate the LCM of 50848 and 50852.

LCM(50848,50852) = 2⁵ × 7¹ × 227¹ × 12713¹
LCM(50848,50852) = 646430624