What is the Least Common Multiple of 33888 and 33896?

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 33888 and 33896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33888 and 33896, than apply into the LCM equation.

GCF(33888,33896) = 8
LCM(33888,33896) = ( 33888 × 33896) / 8
LCM(33888,33896) = 1148667648 / 8
LCM(33888,33896) = 143583456

Least Common Multiple (LCM) of 33888 and 33896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33888 and 33896. First we will calculate the prime factors of 33888 and 33896.

Prime Factorization of 33888

Prime Factorization of 33896

Now multiplying the highest exponent prime factors to calculate the LCM of 33888 and 33896.

LCM(33888,33896) = 2⁵ × 3¹ × 353¹ × 19¹ × 223¹
LCM(33888,33896) = 143583456