What is the Least Common Multiple of 76842 and 76854?

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 76842 and 76854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76842 and 76854, than apply into the LCM equation.

GCF(76842,76854) = 6
LCM(76842,76854) = ( 76842 × 76854) / 6
LCM(76842,76854) = 5905615068 / 6
LCM(76842,76854) = 984269178

Least Common Multiple (LCM) of 76842 and 76854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76842 and 76854. First we will calculate the prime factors of 76842 and 76854.

Prime Factorization of 76842

Prime Factorization of 76854

Now multiplying the highest exponent prime factors to calculate the LCM of 76842 and 76854.

LCM(76842,76854) = 2¹ × 3³ × 1423¹ × 12809¹
LCM(76842,76854) = 984269178