What is the Least Common Multiple of 50838 and 50848?

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 50838 and 50848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50838 and 50848, than apply into the LCM equation.

GCF(50838,50848) = 2
LCM(50838,50848) = ( 50838 × 50848) / 2
LCM(50838,50848) = 2585010624 / 2
LCM(50838,50848) = 1292505312

Least Common Multiple (LCM) of 50838 and 50848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50838 and 50848. First we will calculate the prime factors of 50838 and 50848.

Prime Factorization of 50838

Prime Factorization of 50848

Now multiplying the highest exponent prime factors to calculate the LCM of 50838 and 50848.

LCM(50838,50848) = 2⁵ × 3¹ × 37¹ × 229¹ × 7¹ × 227¹
LCM(50838,50848) = 1292505312