What is the Least Common Multiple of 33440 and 33450?

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 33440 and 33450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33440 and 33450, than apply into the LCM equation.

GCF(33440,33450) = 10
LCM(33440,33450) = ( 33440 × 33450) / 10
LCM(33440,33450) = 1118568000 / 10
LCM(33440,33450) = 111856800

Least Common Multiple (LCM) of 33440 and 33450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33440 and 33450. First we will calculate the prime factors of 33440 and 33450.

Prime Factorization of 33440

Prime Factorization of 33450

Now multiplying the highest exponent prime factors to calculate the LCM of 33440 and 33450.

LCM(33440,33450) = 2⁵ × 5² × 11¹ × 19¹ × 3¹ × 223¹
LCM(33440,33450) = 111856800