What is the Least Common Multiple of 33893 and 33911?

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 33893 and 33911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33893 and 33911, than apply into the LCM equation.

GCF(33893,33911) = 1
LCM(33893,33911) = ( 33893 × 33911) / 1
LCM(33893,33911) = 1149345523 / 1
LCM(33893,33911) = 1149345523

Least Common Multiple (LCM) of 33893 and 33911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33893 and 33911. First we will calculate the prime factors of 33893 and 33911.

Prime Factorization of 33893

Prime Factorization of 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 33893 and 33911.

LCM(33893,33911) = 33893¹ × 33911¹
LCM(33893,33911) = 1149345523