What is the Least Common Multiple of 82378 and 82396?

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 82378 and 82396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82378 and 82396, than apply into the LCM equation.

GCF(82378,82396) = 2
LCM(82378,82396) = ( 82378 × 82396) / 2
LCM(82378,82396) = 6787617688 / 2
LCM(82378,82396) = 3393808844

Least Common Multiple (LCM) of 82378 and 82396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82378 and 82396. First we will calculate the prime factors of 82378 and 82396.

Prime Factorization of 82378

Prime Factorization of 82396

Now multiplying the highest exponent prime factors to calculate the LCM of 82378 and 82396.

LCM(82378,82396) = 2² × 41189¹ × 20599¹
LCM(82378,82396) = 3393808844