What is the Least Common Multiple of 49838 and 49846?

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 49838 and 49846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49838 and 49846, than apply into the LCM equation.

GCF(49838,49846) = 2
LCM(49838,49846) = ( 49838 × 49846) / 2
LCM(49838,49846) = 2484224948 / 2
LCM(49838,49846) = 1242112474

Least Common Multiple (LCM) of 49838 and 49846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49838 and 49846. First we will calculate the prime factors of 49838 and 49846.

Prime Factorization of 49838

Prime Factorization of 49846

Now multiplying the highest exponent prime factors to calculate the LCM of 49838 and 49846.

LCM(49838,49846) = 2¹ × 24919¹ × 24923¹
LCM(49838,49846) = 1242112474