What is the Least Common Multiple of 34470 and 34483?

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 34470 and 34483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34470 and 34483, than apply into the LCM equation.

GCF(34470,34483) = 1
LCM(34470,34483) = ( 34470 × 34483) / 1
LCM(34470,34483) = 1188629010 / 1
LCM(34470,34483) = 1188629010

Least Common Multiple (LCM) of 34470 and 34483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34470 and 34483. First we will calculate the prime factors of 34470 and 34483.

Prime Factorization of 34470

Prime Factorization of 34483

Now multiplying the highest exponent prime factors to calculate the LCM of 34470 and 34483.

LCM(34470,34483) = 2¹ × 3² × 5¹ × 383¹ × 34483¹
LCM(34470,34483) = 1188629010