What is the Least Common Multiple of 34488 and 34500?

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 34488 and 34500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34488 and 34500, than apply into the LCM equation.

GCF(34488,34500) = 12
LCM(34488,34500) = ( 34488 × 34500) / 12
LCM(34488,34500) = 1189836000 / 12
LCM(34488,34500) = 99153000

Least Common Multiple (LCM) of 34488 and 34500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34488 and 34500. First we will calculate the prime factors of 34488 and 34500.

Prime Factorization of 34488

Prime Factorization of 34500

Now multiplying the highest exponent prime factors to calculate the LCM of 34488 and 34500.

LCM(34488,34500) = 2³ × 3² × 479¹ × 5³ × 23¹
LCM(34488,34500) = 99153000