What is the Least Common Multiple of 12005 and 12010?

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 12005 and 12010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12005 and 12010, than apply into the LCM equation.

GCF(12005,12010) = 5
LCM(12005,12010) = ( 12005 × 12010) / 5
LCM(12005,12010) = 144180050 / 5
LCM(12005,12010) = 28836010

Least Common Multiple (LCM) of 12005 and 12010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12005 and 12010. First we will calculate the prime factors of 12005 and 12010.

Prime Factorization of 12005

Prime Factorization of 12010

Now multiplying the highest exponent prime factors to calculate the LCM of 12005 and 12010.

LCM(12005,12010) = 5¹ × 7⁴ × 2¹ × 1201¹
LCM(12005,12010) = 28836010