What is the Least Common Multiple of 33888 and 33900?

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 33900 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 33900, than apply into the LCM equation.

GCF(33888,33900) = 12
LCM(33888,33900) = ( 33888 × 33900) / 12
LCM(33888,33900) = 1148803200 / 12
LCM(33888,33900) = 95733600

Least Common Multiple (LCM) of 33888 and 33900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33888 and 33900. First we will calculate the prime factors of 33888 and 33900.

Prime Factorization of 33888

Prime Factorization of 33900

Now multiplying the highest exponent prime factors to calculate the LCM of 33888 and 33900.

LCM(33888,33900) = 2⁵ × 3¹ × 353¹ × 5² × 113¹
LCM(33888,33900) = 95733600