What is the Least Common Multiple of 33792 and 33807?

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 33792 and 33807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33792 and 33807, than apply into the LCM equation.

GCF(33792,33807) = 3
LCM(33792,33807) = ( 33792 × 33807) / 3
LCM(33792,33807) = 1142406144 / 3
LCM(33792,33807) = 380802048

Least Common Multiple (LCM) of 33792 and 33807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33792 and 33807. First we will calculate the prime factors of 33792 and 33807.

Prime Factorization of 33792

Prime Factorization of 33807

Now multiplying the highest exponent prime factors to calculate the LCM of 33792 and 33807.

LCM(33792,33807) = 2¹⁰ × 3¹ × 11¹ × 59¹ × 191¹
LCM(33792,33807) = 380802048