What is the Least Common Multiple of 8005 and 8013?

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 8005 and 8013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8005 and 8013, than apply into the LCM equation.

GCF(8005,8013) = 1
LCM(8005,8013) = ( 8005 × 8013) / 1
LCM(8005,8013) = 64144065 / 1
LCM(8005,8013) = 64144065

Least Common Multiple (LCM) of 8005 and 8013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8005 and 8013. First we will calculate the prime factors of 8005 and 8013.

Prime Factorization of 8005

Prime Factorization of 8013

Now multiplying the highest exponent prime factors to calculate the LCM of 8005 and 8013.

LCM(8005,8013) = 5¹ × 1601¹ × 3¹ × 2671¹
LCM(8005,8013) = 64144065