What is the Least Common Multiple of 66505 and 66509?

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 66505 and 66509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66505 and 66509, than apply into the LCM equation.

GCF(66505,66509) = 1
LCM(66505,66509) = ( 66505 × 66509) / 1
LCM(66505,66509) = 4423181045 / 1
LCM(66505,66509) = 4423181045

Least Common Multiple (LCM) of 66505 and 66509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66505 and 66509. First we will calculate the prime factors of 66505 and 66509.

Prime Factorization of 66505

Prime Factorization of 66509

Now multiplying the highest exponent prime factors to calculate the LCM of 66505 and 66509.

LCM(66505,66509) = 5¹ × 47¹ × 283¹ × 66509¹
LCM(66505,66509) = 4423181045