What is the Least Common Multiple of 91836 and 91856?

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 91836 and 91856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91836 and 91856, than apply into the LCM equation.

GCF(91836,91856) = 4
LCM(91836,91856) = ( 91836 × 91856) / 4
LCM(91836,91856) = 8435687616 / 4
LCM(91836,91856) = 2108921904

Least Common Multiple (LCM) of 91836 and 91856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91836 and 91856. First we will calculate the prime factors of 91836 and 91856.

Prime Factorization of 91836

Prime Factorization of 91856

Now multiplying the highest exponent prime factors to calculate the LCM of 91836 and 91856.

LCM(91836,91856) = 2⁴ × 3² × 2551¹ × 5741¹
LCM(91836,91856) = 2108921904