What is the Least Common Multiple of 76854 and 76867?

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 76854 and 76867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76854 and 76867, than apply into the LCM equation.

GCF(76854,76867) = 1
LCM(76854,76867) = ( 76854 × 76867) / 1
LCM(76854,76867) = 5907536418 / 1
LCM(76854,76867) = 5907536418

Least Common Multiple (LCM) of 76854 and 76867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76854 and 76867. First we will calculate the prime factors of 76854 and 76867.

Prime Factorization of 76854

Prime Factorization of 76867

Now multiplying the highest exponent prime factors to calculate the LCM of 76854 and 76867.

LCM(76854,76867) = 2¹ × 3¹ × 12809¹ × 7¹ × 79¹ × 139¹
LCM(76854,76867) = 5907536418