What is the Least Common Multiple of 65250 and 65256?

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 65250 and 65256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65250 and 65256, than apply into the LCM equation.

GCF(65250,65256) = 6
LCM(65250,65256) = ( 65250 × 65256) / 6
LCM(65250,65256) = 4257954000 / 6
LCM(65250,65256) = 709659000

Least Common Multiple (LCM) of 65250 and 65256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65250 and 65256. First we will calculate the prime factors of 65250 and 65256.

Prime Factorization of 65250

Prime Factorization of 65256

Now multiplying the highest exponent prime factors to calculate the LCM of 65250 and 65256.

LCM(65250,65256) = 2³ × 3² × 5³ × 29¹ × 2719¹
LCM(65250,65256) = 709659000