What is the Least Common Multiple of 34470 and 34489?

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 34489 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 34489, than apply into the LCM equation.

GCF(34470,34489) = 1
LCM(34470,34489) = ( 34470 × 34489) / 1
LCM(34470,34489) = 1188835830 / 1
LCM(34470,34489) = 1188835830

Least Common Multiple (LCM) of 34470 and 34489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34470 and 34489. First we will calculate the prime factors of 34470 and 34489.

Prime Factorization of 34470

Prime Factorization of 34489

Now multiplying the highest exponent prime factors to calculate the LCM of 34470 and 34489.

LCM(34470,34489) = 2¹ × 3² × 5¹ × 383¹ × 7¹ × 13¹ × 379¹
LCM(34470,34489) = 1188835830