What is the Least Common Multiple of 33489 and 33507?

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 33489 and 33507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33489 and 33507, than apply into the LCM equation.

GCF(33489,33507) = 9
LCM(33489,33507) = ( 33489 × 33507) / 9
LCM(33489,33507) = 1122115923 / 9
LCM(33489,33507) = 124679547

Least Common Multiple (LCM) of 33489 and 33507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33489 and 33507. First we will calculate the prime factors of 33489 and 33507.

Prime Factorization of 33489

Prime Factorization of 33507

Now multiplying the highest exponent prime factors to calculate the LCM of 33489 and 33507.

LCM(33489,33507) = 3³ × 61² × 17¹ × 73¹
LCM(33489,33507) = 124679547