What is the Least Common Multiple of 34359 and 34372?

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 34359 and 34372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34359 and 34372, than apply into the LCM equation.

GCF(34359,34372) = 13
LCM(34359,34372) = ( 34359 × 34372) / 13
LCM(34359,34372) = 1180987548 / 13
LCM(34359,34372) = 90845196

Least Common Multiple (LCM) of 34359 and 34372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34359 and 34372. First we will calculate the prime factors of 34359 and 34372.

Prime Factorization of 34359

Prime Factorization of 34372

Now multiplying the highest exponent prime factors to calculate the LCM of 34359 and 34372.

LCM(34359,34372) = 3¹ × 13¹ × 881¹ × 2² × 661¹
LCM(34359,34372) = 90845196