What is the Least Common Multiple of 33381 and 33399?

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 33381 and 33399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33381 and 33399, than apply into the LCM equation.

GCF(33381,33399) = 9
LCM(33381,33399) = ( 33381 × 33399) / 9
LCM(33381,33399) = 1114892019 / 9
LCM(33381,33399) = 123876891

Least Common Multiple (LCM) of 33381 and 33399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33381 and 33399. First we will calculate the prime factors of 33381 and 33399.

Prime Factorization of 33381

Prime Factorization of 33399

Now multiplying the highest exponent prime factors to calculate the LCM of 33381 and 33399.

LCM(33381,33399) = 3³ × 3709¹ × 1237¹
LCM(33381,33399) = 123876891