What is the Least Common Multiple of 85413 and 85431?

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 85413 and 85431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85413 and 85431, than apply into the LCM equation.

GCF(85413,85431) = 3
LCM(85413,85431) = ( 85413 × 85431) / 3
LCM(85413,85431) = 7296918003 / 3
LCM(85413,85431) = 2432306001

Least Common Multiple (LCM) of 85413 and 85431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85413 and 85431. First we will calculate the prime factors of 85413 and 85431.

Prime Factorization of 85413

Prime Factorization of 85431

Now multiplying the highest exponent prime factors to calculate the LCM of 85413 and 85431.

LCM(85413,85431) = 3¹ × 71¹ × 401¹ × 28477¹
LCM(85413,85431) = 2432306001