What is the Least Common Multiple of 7842 and 7856?

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 7842 and 7856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7842 and 7856, than apply into the LCM equation.

GCF(7842,7856) = 2
LCM(7842,7856) = ( 7842 × 7856) / 2
LCM(7842,7856) = 61606752 / 2
LCM(7842,7856) = 30803376

Least Common Multiple (LCM) of 7842 and 7856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7842 and 7856. First we will calculate the prime factors of 7842 and 7856.

Prime Factorization of 7842

Prime Factorization of 7856

Now multiplying the highest exponent prime factors to calculate the LCM of 7842 and 7856.

LCM(7842,7856) = 2⁴ × 3¹ × 1307¹ × 491¹
LCM(7842,7856) = 30803376