What is the Least Common Multiple of 33839 and 33851?

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 33839 and 33851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33839 and 33851, than apply into the LCM equation.

GCF(33839,33851) = 1
LCM(33839,33851) = ( 33839 × 33851) / 1
LCM(33839,33851) = 1145483989 / 1
LCM(33839,33851) = 1145483989

Least Common Multiple (LCM) of 33839 and 33851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33839 and 33851. First we will calculate the prime factors of 33839 and 33851.

Prime Factorization of 33839

Prime Factorization of 33851

Now multiplying the highest exponent prime factors to calculate the LCM of 33839 and 33851.

LCM(33839,33851) = 13¹ × 19¹ × 137¹ × 33851¹
LCM(33839,33851) = 1145483989