What is the Least Common Multiple of 34340 and 34358?

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 34340 and 34358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34340 and 34358, than apply into the LCM equation.

GCF(34340,34358) = 2
LCM(34340,34358) = ( 34340 × 34358) / 2
LCM(34340,34358) = 1179853720 / 2
LCM(34340,34358) = 589926860

Least Common Multiple (LCM) of 34340 and 34358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34340 and 34358. First we will calculate the prime factors of 34340 and 34358.

Prime Factorization of 34340

Prime Factorization of 34358

Now multiplying the highest exponent prime factors to calculate the LCM of 34340 and 34358.

LCM(34340,34358) = 2² × 5¹ × 17¹ × 101¹ × 41¹ × 419¹
LCM(34340,34358) = 589926860