What is the Least Common Multiple of 85968 and 85975?

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 85968 and 85975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85968 and 85975, than apply into the LCM equation.

GCF(85968,85975) = 1
LCM(85968,85975) = ( 85968 × 85975) / 1
LCM(85968,85975) = 7391098800 / 1
LCM(85968,85975) = 7391098800

Least Common Multiple (LCM) of 85968 and 85975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85968 and 85975. First we will calculate the prime factors of 85968 and 85975.

Prime Factorization of 85968

Prime Factorization of 85975

Now multiplying the highest exponent prime factors to calculate the LCM of 85968 and 85975.

LCM(85968,85975) = 2⁴ × 3³ × 199¹ × 5² × 19¹ × 181¹
LCM(85968,85975) = 7391098800