What is the Least Common Multiple of 33467 and 33481?

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 33467 and 33481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33467 and 33481, than apply into the LCM equation.

GCF(33467,33481) = 7
LCM(33467,33481) = ( 33467 × 33481) / 7
LCM(33467,33481) = 1120508627 / 7
LCM(33467,33481) = 160072661

Least Common Multiple (LCM) of 33467 and 33481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33467 and 33481. First we will calculate the prime factors of 33467 and 33481.

Prime Factorization of 33467

Prime Factorization of 33481

Now multiplying the highest exponent prime factors to calculate the LCM of 33467 and 33481.

LCM(33467,33481) = 7² × 683¹ × 4783¹
LCM(33467,33481) = 160072661