What is the Least Common Multiple of 81888 and 81893?

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 81888 and 81893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81888 and 81893, than apply into the LCM equation.

GCF(81888,81893) = 1
LCM(81888,81893) = ( 81888 × 81893) / 1
LCM(81888,81893) = 6706053984 / 1
LCM(81888,81893) = 6706053984

Least Common Multiple (LCM) of 81888 and 81893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81888 and 81893. First we will calculate the prime factors of 81888 and 81893.

Prime Factorization of 81888

Prime Factorization of 81893

Now multiplying the highest exponent prime factors to calculate the LCM of 81888 and 81893.

LCM(81888,81893) = 2⁵ × 3¹ × 853¹ × 7¹ × 11699¹
LCM(81888,81893) = 6706053984