What is the Least Common Multiple of 34353 and 34359?

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 34353 and 34359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34353 and 34359, than apply into the LCM equation.

GCF(34353,34359) = 3
LCM(34353,34359) = ( 34353 × 34359) / 3
LCM(34353,34359) = 1180334727 / 3
LCM(34353,34359) = 393444909

Least Common Multiple (LCM) of 34353 and 34359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34353 and 34359. First we will calculate the prime factors of 34353 and 34359.

Prime Factorization of 34353

Prime Factorization of 34359

Now multiplying the highest exponent prime factors to calculate the LCM of 34353 and 34359.

LCM(34353,34359) = 3² × 11¹ × 347¹ × 13¹ × 881¹
LCM(34353,34359) = 393444909