What is the Least Common Multiple of 85842 and 85854?

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 85842 and 85854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85842 and 85854, than apply into the LCM equation.

GCF(85842,85854) = 6
LCM(85842,85854) = ( 85842 × 85854) / 6
LCM(85842,85854) = 7369879068 / 6
LCM(85842,85854) = 1228313178

Least Common Multiple (LCM) of 85842 and 85854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85842 and 85854. First we will calculate the prime factors of 85842 and 85854.

Prime Factorization of 85842

Prime Factorization of 85854

Now multiplying the highest exponent prime factors to calculate the LCM of 85842 and 85854.

LCM(85842,85854) = 2¹ × 3² × 19¹ × 251¹ × 41¹ × 349¹
LCM(85842,85854) = 1228313178