What is the Least Common Multiple of 71158 and 71168?

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 71158 and 71168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71158 and 71168, than apply into the LCM equation.

GCF(71158,71168) = 2
LCM(71158,71168) = ( 71158 × 71168) / 2
LCM(71158,71168) = 5064172544 / 2
LCM(71158,71168) = 2532086272

Least Common Multiple (LCM) of 71158 and 71168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71158 and 71168. First we will calculate the prime factors of 71158 and 71168.

Prime Factorization of 71158

Prime Factorization of 71168

Now multiplying the highest exponent prime factors to calculate the LCM of 71158 and 71168.

LCM(71158,71168) = 2⁹ × 47¹ × 757¹ × 139¹
LCM(71158,71168) = 2532086272