What is the Least Common Multiple of 71164 and 71176?

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 71164 and 71176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71164 and 71176, than apply into the LCM equation.

GCF(71164,71176) = 4
LCM(71164,71176) = ( 71164 × 71176) / 4
LCM(71164,71176) = 5065168864 / 4
LCM(71164,71176) = 1266292216

Least Common Multiple (LCM) of 71164 and 71176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71164 and 71176. First we will calculate the prime factors of 71164 and 71176.

Prime Factorization of 71164

Prime Factorization of 71176

Now multiplying the highest exponent prime factors to calculate the LCM of 71164 and 71176.

LCM(71164,71176) = 2³ × 17791¹ × 7¹ × 31¹ × 41¹
LCM(71164,71176) = 1266292216