What is the Least Common Multiple of 33384 and 33398?

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 33384 and 33398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33384 and 33398, than apply into the LCM equation.

GCF(33384,33398) = 2
LCM(33384,33398) = ( 33384 × 33398) / 2
LCM(33384,33398) = 1114958832 / 2
LCM(33384,33398) = 557479416

Least Common Multiple (LCM) of 33384 and 33398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33384 and 33398. First we will calculate the prime factors of 33384 and 33398.

Prime Factorization of 33384

Prime Factorization of 33398

Now multiplying the highest exponent prime factors to calculate the LCM of 33384 and 33398.

LCM(33384,33398) = 2³ × 3¹ × 13¹ × 107¹ × 16699¹
LCM(33384,33398) = 557479416