What is the Least Common Multiple of 81456 and 81474?

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 81456 and 81474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81456 and 81474, than apply into the LCM equation.

GCF(81456,81474) = 6
LCM(81456,81474) = ( 81456 × 81474) / 6
LCM(81456,81474) = 6636546144 / 6
LCM(81456,81474) = 1106091024

Least Common Multiple (LCM) of 81456 and 81474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81456 and 81474. First we will calculate the prime factors of 81456 and 81474.

Prime Factorization of 81456

Prime Factorization of 81474

Now multiplying the highest exponent prime factors to calculate the LCM of 81456 and 81474.

LCM(81456,81474) = 2⁴ × 3¹ × 1697¹ × 37¹ × 367¹
LCM(81456,81474) = 1106091024