What is the Least Common Multiple of 4005 and 4024?

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 4024 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 4024, than apply into the LCM equation.

GCF(4005,4024) = 1
LCM(4005,4024) = ( 4005 × 4024) / 1
LCM(4005,4024) = 16116120 / 1
LCM(4005,4024) = 16116120

Least Common Multiple (LCM) of 4005 and 4024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4005 and 4024. First we will calculate the prime factors of 4005 and 4024.

Prime Factorization of 4005

Prime Factorization of 4024

Now multiplying the highest exponent prime factors to calculate the LCM of 4005 and 4024.

LCM(4005,4024) = 3² × 5¹ × 89¹ × 2³ × 503¹
LCM(4005,4024) = 16116120