What is the Least Common Multiple of 8005 and 8010?

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 8010 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 8010, than apply into the LCM equation.

GCF(8005,8010) = 5
LCM(8005,8010) = ( 8005 × 8010) / 5
LCM(8005,8010) = 64120050 / 5
LCM(8005,8010) = 12824010

Least Common Multiple (LCM) of 8005 and 8010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8005 and 8010. First we will calculate the prime factors of 8005 and 8010.

Prime Factorization of 8005

Prime Factorization of 8010

Now multiplying the highest exponent prime factors to calculate the LCM of 8005 and 8010.

LCM(8005,8010) = 5¹ × 1601¹ × 2¹ × 3² × 89¹
LCM(8005,8010) = 12824010