What is the Least Common Multiple of 81648 and 81664?

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 81648 and 81664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81648 and 81664, than apply into the LCM equation.

GCF(81648,81664) = 16
LCM(81648,81664) = ( 81648 × 81664) / 16
LCM(81648,81664) = 6667702272 / 16
LCM(81648,81664) = 416731392

Least Common Multiple (LCM) of 81648 and 81664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81648 and 81664. First we will calculate the prime factors of 81648 and 81664.

Prime Factorization of 81648

Prime Factorization of 81664

Now multiplying the highest exponent prime factors to calculate the LCM of 81648 and 81664.

LCM(81648,81664) = 2⁸ × 3⁶ × 7¹ × 11¹ × 29¹
LCM(81648,81664) = 416731392