What is the Least Common Multiple of 49839 and 49851?

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 49839 and 49851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49839 and 49851, than apply into the LCM equation.

GCF(49839,49851) = 3
LCM(49839,49851) = ( 49839 × 49851) / 3
LCM(49839,49851) = 2484523989 / 3
LCM(49839,49851) = 828174663

Least Common Multiple (LCM) of 49839 and 49851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49839 and 49851. First we will calculate the prime factors of 49839 and 49851.

Prime Factorization of 49839

Prime Factorization of 49851

Now multiplying the highest exponent prime factors to calculate the LCM of 49839 and 49851.

LCM(49839,49851) = 3² × 37¹ × 449¹ × 29¹ × 191¹
LCM(49839,49851) = 828174663