What is the Least Common Multiple of 81408 and 81428?

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 81408 and 81428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81408 and 81428, than apply into the LCM equation.

GCF(81408,81428) = 4
LCM(81408,81428) = ( 81408 × 81428) / 4
LCM(81408,81428) = 6628890624 / 4
LCM(81408,81428) = 1657222656

Least Common Multiple (LCM) of 81408 and 81428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81408 and 81428. First we will calculate the prime factors of 81408 and 81428.

Prime Factorization of 81408

Prime Factorization of 81428

Now multiplying the highest exponent prime factors to calculate the LCM of 81408 and 81428.

LCM(81408,81428) = 2⁹ × 3¹ × 53¹ × 20357¹
LCM(81408,81428) = 1657222656