What is the Least Common Multiple of 34368 and 34386?

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 34368 and 34386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34368 and 34386, than apply into the LCM equation.

GCF(34368,34386) = 6
LCM(34368,34386) = ( 34368 × 34386) / 6
LCM(34368,34386) = 1181778048 / 6
LCM(34368,34386) = 196963008

Least Common Multiple (LCM) of 34368 and 34386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34368 and 34386. First we will calculate the prime factors of 34368 and 34386.

Prime Factorization of 34368

Prime Factorization of 34386

Now multiplying the highest exponent prime factors to calculate the LCM of 34368 and 34386.

LCM(34368,34386) = 2⁶ × 3¹ × 179¹ × 11¹ × 521¹
LCM(34368,34386) = 196963008