What is the Least Common Multiple of 33381 and 33385?

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 33385 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 33385, than apply into the LCM equation.

GCF(33381,33385) = 1
LCM(33381,33385) = ( 33381 × 33385) / 1
LCM(33381,33385) = 1114424685 / 1
LCM(33381,33385) = 1114424685

Least Common Multiple (LCM) of 33381 and 33385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33381 and 33385. First we will calculate the prime factors of 33381 and 33385.

Prime Factorization of 33381

Prime Factorization of 33385

Now multiplying the highest exponent prime factors to calculate the LCM of 33381 and 33385.

LCM(33381,33385) = 3² × 3709¹ × 5¹ × 11¹ × 607¹
LCM(33381,33385) = 1114424685