What is the Least Common Multiple of 33457 and 33467?

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 33457 and 33467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33457 and 33467, than apply into the LCM equation.

GCF(33457,33467) = 1
LCM(33457,33467) = ( 33457 × 33467) / 1
LCM(33457,33467) = 1119705419 / 1
LCM(33457,33467) = 1119705419

Least Common Multiple (LCM) of 33457 and 33467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33457 and 33467. First we will calculate the prime factors of 33457 and 33467.

Prime Factorization of 33457

Prime Factorization of 33467

Now multiplying the highest exponent prime factors to calculate the LCM of 33457 and 33467.

LCM(33457,33467) = 33457¹ × 7² × 683¹
LCM(33457,33467) = 1119705419