What is the Least Common Multiple of 34473 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 34473 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 34473 and 34489, than apply into the LCM equation.

GCF(34473,34489) = 1
LCM(34473,34489) = ( 34473 × 34489) / 1
LCM(34473,34489) = 1188939297 / 1
LCM(34473,34489) = 1188939297

Least Common Multiple (LCM) of 34473 and 34489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34473 and 34489. First we will calculate the prime factors of 34473 and 34489.

Prime Factorization of 34473

Prime Factorization of 34489

Now multiplying the highest exponent prime factors to calculate the LCM of 34473 and 34489.

LCM(34473,34489) = 3¹ × 11491¹ × 7¹ × 13¹ × 379¹
LCM(34473,34489) = 1188939297