What is the Least Common Multiple of 65376 and 65392?

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 65376 and 65392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65376 and 65392, than apply into the LCM equation.

GCF(65376,65392) = 16
LCM(65376,65392) = ( 65376 × 65392) / 16
LCM(65376,65392) = 4275067392 / 16
LCM(65376,65392) = 267191712

Least Common Multiple (LCM) of 65376 and 65392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65376 and 65392. First we will calculate the prime factors of 65376 and 65392.

Prime Factorization of 65376

Prime Factorization of 65392

Now multiplying the highest exponent prime factors to calculate the LCM of 65376 and 65392.

LCM(65376,65392) = 2⁵ × 3² × 227¹ × 61¹ × 67¹
LCM(65376,65392) = 267191712