What is the Least Common Multiple of 81489 and 81505?

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 81489 and 81505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81489 and 81505, than apply into the LCM equation.

GCF(81489,81505) = 1
LCM(81489,81505) = ( 81489 × 81505) / 1
LCM(81489,81505) = 6641760945 / 1
LCM(81489,81505) = 6641760945

Least Common Multiple (LCM) of 81489 and 81505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81489 and 81505. First we will calculate the prime factors of 81489 and 81505.

Prime Factorization of 81489

Prime Factorization of 81505

Now multiplying the highest exponent prime factors to calculate the LCM of 81489 and 81505.

LCM(81489,81505) = 3¹ × 23¹ × 1181¹ × 5¹ × 16301¹
LCM(81489,81505) = 6641760945