What is the Least Common Multiple of 81164 and 81176?

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 81164 and 81176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81164 and 81176, than apply into the LCM equation.

GCF(81164,81176) = 4
LCM(81164,81176) = ( 81164 × 81176) / 4
LCM(81164,81176) = 6588568864 / 4
LCM(81164,81176) = 1647142216

Least Common Multiple (LCM) of 81164 and 81176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81164 and 81176. First we will calculate the prime factors of 81164 and 81176.

Prime Factorization of 81164

Prime Factorization of 81176

Now multiplying the highest exponent prime factors to calculate the LCM of 81164 and 81176.

LCM(81164,81176) = 2³ × 103¹ × 197¹ × 73¹ × 139¹
LCM(81164,81176) = 1647142216