What is the Least Common Multiple of 84005 and 84010?

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 84005 and 84010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84005 and 84010, than apply into the LCM equation.

GCF(84005,84010) = 5
LCM(84005,84010) = ( 84005 × 84010) / 5
LCM(84005,84010) = 7057260050 / 5
LCM(84005,84010) = 1411452010

Least Common Multiple (LCM) of 84005 and 84010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84005 and 84010. First we will calculate the prime factors of 84005 and 84010.

Prime Factorization of 84005

Prime Factorization of 84010

Now multiplying the highest exponent prime factors to calculate the LCM of 84005 and 84010.

LCM(84005,84010) = 5¹ × 53¹ × 317¹ × 2¹ × 31¹ × 271¹
LCM(84005,84010) = 1411452010