What is the Least Common Multiple of 81465 and 81471?

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 81465 and 81471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81465 and 81471, than apply into the LCM equation.

GCF(81465,81471) = 3
LCM(81465,81471) = ( 81465 × 81471) / 3
LCM(81465,81471) = 6637035015 / 3
LCM(81465,81471) = 2212345005

Least Common Multiple (LCM) of 81465 and 81471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81465 and 81471. First we will calculate the prime factors of 81465 and 81471.

Prime Factorization of 81465

Prime Factorization of 81471

Now multiplying the highest exponent prime factors to calculate the LCM of 81465 and 81471.

LCM(81465,81471) = 3¹ × 5¹ × 5431¹ × 13¹ × 2089¹
LCM(81465,81471) = 2212345005