What is the Least Common Multiple of 81314 and 81320?

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 81314 and 81320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81314 and 81320, than apply into the LCM equation.

GCF(81314,81320) = 2
LCM(81314,81320) = ( 81314 × 81320) / 2
LCM(81314,81320) = 6612454480 / 2
LCM(81314,81320) = 3306227240

Least Common Multiple (LCM) of 81314 and 81320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81314 and 81320. First we will calculate the prime factors of 81314 and 81320.

Prime Factorization of 81314

Prime Factorization of 81320

Now multiplying the highest exponent prime factors to calculate the LCM of 81314 and 81320.

LCM(81314,81320) = 2³ × 109¹ × 373¹ × 5¹ × 19¹ × 107¹
LCM(81314,81320) = 3306227240