What is the Least Common Multiple of 65059 and 65065?

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 65059 and 65065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65059 and 65065, than apply into the LCM equation.

GCF(65059,65065) = 1
LCM(65059,65065) = ( 65059 × 65065) / 1
LCM(65059,65065) = 4233063835 / 1
LCM(65059,65065) = 4233063835

Least Common Multiple (LCM) of 65059 and 65065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65059 and 65065. First we will calculate the prime factors of 65059 and 65065.

Prime Factorization of 65059

Prime Factorization of 65065

Now multiplying the highest exponent prime factors to calculate the LCM of 65059 and 65065.

LCM(65059,65065) = 17¹ × 43¹ × 89¹ × 5¹ × 7¹ × 11¹ × 13²
LCM(65059,65065) = 4233063835