What is the Least Common Multiple of 91856 and 91871?

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 91856 and 91871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91856 and 91871, than apply into the LCM equation.

GCF(91856,91871) = 1
LCM(91856,91871) = ( 91856 × 91871) / 1
LCM(91856,91871) = 8438902576 / 1
LCM(91856,91871) = 8438902576

Least Common Multiple (LCM) of 91856 and 91871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91856 and 91871. First we will calculate the prime factors of 91856 and 91871.

Prime Factorization of 91856

Prime Factorization of 91871

Now multiplying the highest exponent prime factors to calculate the LCM of 91856 and 91871.

LCM(91856,91871) = 2⁴ × 5741¹ × 13¹ × 37¹ × 191¹
LCM(91856,91871) = 8438902576