What is the Least Common Multiple of 71005 and 71010?

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 71005 and 71010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71005 and 71010, than apply into the LCM equation.

GCF(71005,71010) = 5
LCM(71005,71010) = ( 71005 × 71010) / 5
LCM(71005,71010) = 5042065050 / 5
LCM(71005,71010) = 1008413010

Least Common Multiple (LCM) of 71005 and 71010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71005 and 71010. First we will calculate the prime factors of 71005 and 71010.

Prime Factorization of 71005

Prime Factorization of 71010

Now multiplying the highest exponent prime factors to calculate the LCM of 71005 and 71010.

LCM(71005,71010) = 5¹ × 11¹ × 1291¹ × 2¹ × 3³ × 263¹
LCM(71005,71010) = 1008413010