What is the Least Common Multiple of 4005 and 4010?

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 4005 and 4010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4005 and 4010, than apply into the LCM equation.

GCF(4005,4010) = 5
LCM(4005,4010) = ( 4005 × 4010) / 5
LCM(4005,4010) = 16060050 / 5
LCM(4005,4010) = 3212010

Least Common Multiple (LCM) of 4005 and 4010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4005 and 4010. First we will calculate the prime factors of 4005 and 4010.

Prime Factorization of 4005

Prime Factorization of 4010

Now multiplying the highest exponent prime factors to calculate the LCM of 4005 and 4010.

LCM(4005,4010) = 3² × 5¹ × 89¹ × 2¹ × 401¹
LCM(4005,4010) = 3212010