What is the Least Common Multiple of 81320 and 81335?

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 81320 and 81335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81320 and 81335, than apply into the LCM equation.

GCF(81320,81335) = 5
LCM(81320,81335) = ( 81320 × 81335) / 5
LCM(81320,81335) = 6614162200 / 5
LCM(81320,81335) = 1322832440

Least Common Multiple (LCM) of 81320 and 81335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81320 and 81335. First we will calculate the prime factors of 81320 and 81335.

Prime Factorization of 81320

Prime Factorization of 81335

Now multiplying the highest exponent prime factors to calculate the LCM of 81320 and 81335.

LCM(81320,81335) = 2³ × 5¹ × 19¹ × 107¹ × 16267¹
LCM(81320,81335) = 1322832440