What is the Least Common Multiple of 81876 and 81888?

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 81876 and 81888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81876 and 81888, than apply into the LCM equation.

GCF(81876,81888) = 12
LCM(81876,81888) = ( 81876 × 81888) / 12
LCM(81876,81888) = 6704661888 / 12
LCM(81876,81888) = 558721824

Least Common Multiple (LCM) of 81876 and 81888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81876 and 81888. First we will calculate the prime factors of 81876 and 81888.

Prime Factorization of 81876

Prime Factorization of 81888

Now multiplying the highest exponent prime factors to calculate the LCM of 81876 and 81888.

LCM(81876,81888) = 2⁵ × 3¹ × 6823¹ × 853¹
LCM(81876,81888) = 558721824