What is the Least Common Multiple of 33420 and 33440?

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 33420 and 33440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33420 and 33440, than apply into the LCM equation.

GCF(33420,33440) = 20
LCM(33420,33440) = ( 33420 × 33440) / 20
LCM(33420,33440) = 1117564800 / 20
LCM(33420,33440) = 55878240

Least Common Multiple (LCM) of 33420 and 33440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33420 and 33440. First we will calculate the prime factors of 33420 and 33440.

Prime Factorization of 33420

Prime Factorization of 33440

Now multiplying the highest exponent prime factors to calculate the LCM of 33420 and 33440.

LCM(33420,33440) = 2⁵ × 3¹ × 5¹ × 557¹ × 11¹ × 19¹
LCM(33420,33440) = 55878240