What is the Least Common Multiple of 33912 and 33927?

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 33912 and 33927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33912 and 33927, than apply into the LCM equation.

GCF(33912,33927) = 3
LCM(33912,33927) = ( 33912 × 33927) / 3
LCM(33912,33927) = 1150532424 / 3
LCM(33912,33927) = 383510808

Least Common Multiple (LCM) of 33912 and 33927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33912 and 33927. First we will calculate the prime factors of 33912 and 33927.

Prime Factorization of 33912

Prime Factorization of 33927

Now multiplying the highest exponent prime factors to calculate the LCM of 33912 and 33927.

LCM(33912,33927) = 2³ × 3³ × 157¹ × 43¹ × 263¹
LCM(33912,33927) = 383510808