What is the Least Common Multiple of 85431 and 85440?

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 85431 and 85440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85431 and 85440, than apply into the LCM equation.

GCF(85431,85440) = 3
LCM(85431,85440) = ( 85431 × 85440) / 3
LCM(85431,85440) = 7299224640 / 3
LCM(85431,85440) = 2433074880

Least Common Multiple (LCM) of 85431 and 85440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85431 and 85440. First we will calculate the prime factors of 85431 and 85440.

Prime Factorization of 85431

Prime Factorization of 85440

Now multiplying the highest exponent prime factors to calculate the LCM of 85431 and 85440.

LCM(85431,85440) = 3¹ × 28477¹ × 2⁶ × 5¹ × 89¹
LCM(85431,85440) = 2433074880