What is the Least Common Multiple of 32398 and 32416?

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 32398 and 32416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32398 and 32416, than apply into the LCM equation.

GCF(32398,32416) = 2
LCM(32398,32416) = ( 32398 × 32416) / 2
LCM(32398,32416) = 1050213568 / 2
LCM(32398,32416) = 525106784

Least Common Multiple (LCM) of 32398 and 32416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32398 and 32416. First we will calculate the prime factors of 32398 and 32416.

Prime Factorization of 32398

Prime Factorization of 32416

Now multiplying the highest exponent prime factors to calculate the LCM of 32398 and 32416.

LCM(32398,32416) = 2⁵ × 97¹ × 167¹ × 1013¹
LCM(32398,32416) = 525106784