What is the Least Common Multiple of 91782 and 91800?

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 91782 and 91800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91782 and 91800, than apply into the LCM equation.

GCF(91782,91800) = 18
LCM(91782,91800) = ( 91782 × 91800) / 18
LCM(91782,91800) = 8425587600 / 18
LCM(91782,91800) = 468088200

Least Common Multiple (LCM) of 91782 and 91800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91782 and 91800. First we will calculate the prime factors of 91782 and 91800.

Prime Factorization of 91782

Prime Factorization of 91800

Now multiplying the highest exponent prime factors to calculate the LCM of 91782 and 91800.

LCM(91782,91800) = 2³ × 3³ × 5099¹ × 5² × 17¹
LCM(91782,91800) = 468088200