What is the Least Common Multiple of 33867 and 33883?

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 33867 and 33883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33867 and 33883, than apply into the LCM equation.

GCF(33867,33883) = 1
LCM(33867,33883) = ( 33867 × 33883) / 1
LCM(33867,33883) = 1147515561 / 1
LCM(33867,33883) = 1147515561

Least Common Multiple (LCM) of 33867 and 33883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33867 and 33883. First we will calculate the prime factors of 33867 and 33883.

Prime Factorization of 33867

Prime Factorization of 33883

Now multiplying the highest exponent prime factors to calculate the LCM of 33867 and 33883.

LCM(33867,33883) = 3² × 53¹ × 71¹ × 31¹ × 1093¹
LCM(33867,33883) = 1147515561