What is the Least Common Multiple of 34342 and 34360?

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 34342 and 34360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34342 and 34360, than apply into the LCM equation.

GCF(34342,34360) = 2
LCM(34342,34360) = ( 34342 × 34360) / 2
LCM(34342,34360) = 1179991120 / 2
LCM(34342,34360) = 589995560

Least Common Multiple (LCM) of 34342 and 34360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34342 and 34360. First we will calculate the prime factors of 34342 and 34360.

Prime Factorization of 34342

Prime Factorization of 34360

Now multiplying the highest exponent prime factors to calculate the LCM of 34342 and 34360.

LCM(34342,34360) = 2³ × 7¹ × 11¹ × 223¹ × 5¹ × 859¹
LCM(34342,34360) = 589995560