What is the Least Common Multiple of 33810 and 33816?

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 33810 and 33816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33810 and 33816, than apply into the LCM equation.

GCF(33810,33816) = 6
LCM(33810,33816) = ( 33810 × 33816) / 6
LCM(33810,33816) = 1143318960 / 6
LCM(33810,33816) = 190553160

Least Common Multiple (LCM) of 33810 and 33816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33810 and 33816. First we will calculate the prime factors of 33810 and 33816.

Prime Factorization of 33810

Prime Factorization of 33816

Now multiplying the highest exponent prime factors to calculate the LCM of 33810 and 33816.

LCM(33810,33816) = 2³ × 3¹ × 5¹ × 7² × 23¹ × 1409¹
LCM(33810,33816) = 190553160