What is the Least Common Multiple of 33936 and 33948?

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 33936 and 33948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33936 and 33948, than apply into the LCM equation.

GCF(33936,33948) = 12
LCM(33936,33948) = ( 33936 × 33948) / 12
LCM(33936,33948) = 1152059328 / 12
LCM(33936,33948) = 96004944

Least Common Multiple (LCM) of 33936 and 33948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33936 and 33948. First we will calculate the prime factors of 33936 and 33948.

Prime Factorization of 33936

Prime Factorization of 33948

Now multiplying the highest exponent prime factors to calculate the LCM of 33936 and 33948.

LCM(33936,33948) = 2⁴ × 3² × 7¹ × 101¹ × 23¹ × 41¹
LCM(33936,33948) = 96004944