What is the Least Common Multiple of 34398 and 34416?

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 34398 and 34416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34398 and 34416, than apply into the LCM equation.

GCF(34398,34416) = 18
LCM(34398,34416) = ( 34398 × 34416) / 18
LCM(34398,34416) = 1183841568 / 18
LCM(34398,34416) = 65768976

Least Common Multiple (LCM) of 34398 and 34416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34398 and 34416. First we will calculate the prime factors of 34398 and 34416.

Prime Factorization of 34398

Prime Factorization of 34416

Now multiplying the highest exponent prime factors to calculate the LCM of 34398 and 34416.

LCM(34398,34416) = 2⁴ × 3³ × 7² × 13¹ × 239¹
LCM(34398,34416) = 65768976