What is the Least Common Multiple of 33456 and 33474?

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 33456 and 33474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33456 and 33474, than apply into the LCM equation.

GCF(33456,33474) = 6
LCM(33456,33474) = ( 33456 × 33474) / 6
LCM(33456,33474) = 1119906144 / 6
LCM(33456,33474) = 186651024

Least Common Multiple (LCM) of 33456 and 33474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33456 and 33474. First we will calculate the prime factors of 33456 and 33474.

Prime Factorization of 33456

Prime Factorization of 33474

Now multiplying the highest exponent prime factors to calculate the LCM of 33456 and 33474.

LCM(33456,33474) = 2⁴ × 3¹ × 17¹ × 41¹ × 7¹ × 797¹
LCM(33456,33474) = 186651024