What is the Least Common Multiple of 33909 and 33918?

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 33909 and 33918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33909 and 33918, than apply into the LCM equation.

GCF(33909,33918) = 3
LCM(33909,33918) = ( 33909 × 33918) / 3
LCM(33909,33918) = 1150125462 / 3
LCM(33909,33918) = 383375154

Least Common Multiple (LCM) of 33909 and 33918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33909 and 33918. First we will calculate the prime factors of 33909 and 33918.

Prime Factorization of 33909

Prime Factorization of 33918

Now multiplying the highest exponent prime factors to calculate the LCM of 33909 and 33918.

LCM(33909,33918) = 3¹ × 89¹ × 127¹ × 2¹ × 5653¹
LCM(33909,33918) = 383375154