What is the Least Common Multiple of 65888 and 65902?

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 65888 and 65902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65888 and 65902, than apply into the LCM equation.

GCF(65888,65902) = 2
LCM(65888,65902) = ( 65888 × 65902) / 2
LCM(65888,65902) = 4342150976 / 2
LCM(65888,65902) = 2171075488

Least Common Multiple (LCM) of 65888 and 65902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65888 and 65902. First we will calculate the prime factors of 65888 and 65902.

Prime Factorization of 65888

Prime Factorization of 65902

Now multiplying the highest exponent prime factors to calculate the LCM of 65888 and 65902.

LCM(65888,65902) = 2⁵ × 29¹ × 71¹ × 83¹ × 397¹
LCM(65888,65902) = 2171075488