What is the Least Common Multiple of 67842 and 67856?

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 67842 and 67856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67842 and 67856, than apply into the LCM equation.

GCF(67842,67856) = 2
LCM(67842,67856) = ( 67842 × 67856) / 2
LCM(67842,67856) = 4603486752 / 2
LCM(67842,67856) = 2301743376

Least Common Multiple (LCM) of 67842 and 67856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67842 and 67856. First we will calculate the prime factors of 67842 and 67856.

Prime Factorization of 67842

Prime Factorization of 67856

Now multiplying the highest exponent prime factors to calculate the LCM of 67842 and 67856.

LCM(67842,67856) = 2⁴ × 3² × 3769¹ × 4241¹
LCM(67842,67856) = 2301743376