What is the Least Common Multiple of 33912 and 33924?

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 33924 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 33924, than apply into the LCM equation.

GCF(33912,33924) = 12
LCM(33912,33924) = ( 33912 × 33924) / 12
LCM(33912,33924) = 1150430688 / 12
LCM(33912,33924) = 95869224

Least Common Multiple (LCM) of 33912 and 33924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33912 and 33924. First we will calculate the prime factors of 33912 and 33924.

Prime Factorization of 33912

Prime Factorization of 33924

Now multiplying the highest exponent prime factors to calculate the LCM of 33912 and 33924.

LCM(33912,33924) = 2³ × 3³ × 157¹ × 11¹ × 257¹
LCM(33912,33924) = 95869224