What is the Least Common Multiple of 85888 and 85902?

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 85888 and 85902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85888 and 85902, than apply into the LCM equation.

GCF(85888,85902) = 2
LCM(85888,85902) = ( 85888 × 85902) / 2
LCM(85888,85902) = 7377950976 / 2
LCM(85888,85902) = 3688975488

Least Common Multiple (LCM) of 85888 and 85902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85888 and 85902. First we will calculate the prime factors of 85888 and 85902.

Prime Factorization of 85888

Prime Factorization of 85902

Now multiplying the highest exponent prime factors to calculate the LCM of 85888 and 85902.

LCM(85888,85902) = 2⁷ × 11¹ × 61¹ × 3¹ × 103¹ × 139¹
LCM(85888,85902) = 3688975488