What is the Least Common Multiple of 34323 and 34339?

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 34323 and 34339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34323 and 34339, than apply into the LCM equation.

GCF(34323,34339) = 1
LCM(34323,34339) = ( 34323 × 34339) / 1
LCM(34323,34339) = 1178617497 / 1
LCM(34323,34339) = 1178617497

Least Common Multiple (LCM) of 34323 and 34339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34323 and 34339. First we will calculate the prime factors of 34323 and 34339.

Prime Factorization of 34323

Prime Factorization of 34339

Now multiplying the highest exponent prime factors to calculate the LCM of 34323 and 34339.

LCM(34323,34339) = 3¹ × 17¹ × 673¹ × 23¹ × 1493¹
LCM(34323,34339) = 1178617497