What is the Least Common Multiple of 81536 and 81543?

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 81536 and 81543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81536 and 81543, than apply into the LCM equation.

GCF(81536,81543) = 7
LCM(81536,81543) = ( 81536 × 81543) / 7
LCM(81536,81543) = 6648690048 / 7
LCM(81536,81543) = 949812864

Least Common Multiple (LCM) of 81536 and 81543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81536 and 81543. First we will calculate the prime factors of 81536 and 81543.

Prime Factorization of 81536

Prime Factorization of 81543

Now multiplying the highest exponent prime factors to calculate the LCM of 81536 and 81543.

LCM(81536,81543) = 2⁷ × 7² × 13¹ × 3¹ × 11¹ × 353¹
LCM(81536,81543) = 949812864