What is the Least Common Multiple of 33861 and 33871?

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 33861 and 33871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33861 and 33871, than apply into the LCM equation.

GCF(33861,33871) = 1
LCM(33861,33871) = ( 33861 × 33871) / 1
LCM(33861,33871) = 1146905931 / 1
LCM(33861,33871) = 1146905931

Least Common Multiple (LCM) of 33861 and 33871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33861 and 33871. First we will calculate the prime factors of 33861 and 33871.

Prime Factorization of 33861

Prime Factorization of 33871

Now multiplying the highest exponent prime factors to calculate the LCM of 33861 and 33871.

LCM(33861,33871) = 3¹ × 11287¹ × 33871¹
LCM(33861,33871) = 1146905931