What is the Least Common Multiple of 85421 and 85439?

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 85421 and 85439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85421 and 85439, than apply into the LCM equation.

GCF(85421,85439) = 1
LCM(85421,85439) = ( 85421 × 85439) / 1
LCM(85421,85439) = 7298284819 / 1
LCM(85421,85439) = 7298284819

Least Common Multiple (LCM) of 85421 and 85439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85421 and 85439. First we will calculate the prime factors of 85421 and 85439.

Prime Factorization of 85421

Prime Factorization of 85439

Now multiplying the highest exponent prime factors to calculate the LCM of 85421 and 85439.

LCM(85421,85439) = 7¹ × 12203¹ × 85439¹
LCM(85421,85439) = 7298284819