What is the Least Common Multiple of 85683 and 85699?

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 85683 and 85699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85683 and 85699, than apply into the LCM equation.

GCF(85683,85699) = 1
LCM(85683,85699) = ( 85683 × 85699) / 1
LCM(85683,85699) = 7342947417 / 1
LCM(85683,85699) = 7342947417

Least Common Multiple (LCM) of 85683 and 85699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85683 and 85699. First we will calculate the prime factors of 85683 and 85699.

Prime Factorization of 85683

Prime Factorization of 85699

Now multiplying the highest exponent prime factors to calculate the LCM of 85683 and 85699.

LCM(85683,85699) = 3¹ × 13⁴ × 43¹ × 1993¹
LCM(85683,85699) = 7342947417