What is the Least Common Multiple of 33280 and 33300?

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 33280 and 33300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33280 and 33300, than apply into the LCM equation.

GCF(33280,33300) = 20
LCM(33280,33300) = ( 33280 × 33300) / 20
LCM(33280,33300) = 1108224000 / 20
LCM(33280,33300) = 55411200

Least Common Multiple (LCM) of 33280 and 33300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33280 and 33300. First we will calculate the prime factors of 33280 and 33300.

Prime Factorization of 33280

Prime Factorization of 33300

Now multiplying the highest exponent prime factors to calculate the LCM of 33280 and 33300.

LCM(33280,33300) = 2⁹ × 5² × 13¹ × 3² × 37¹
LCM(33280,33300) = 55411200