What is the Least Common Multiple of 91800 and 91808?

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 91800 and 91808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91800 and 91808, than apply into the LCM equation.

GCF(91800,91808) = 8
LCM(91800,91808) = ( 91800 × 91808) / 8
LCM(91800,91808) = 8427974400 / 8
LCM(91800,91808) = 1053496800

Least Common Multiple (LCM) of 91800 and 91808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91800 and 91808. First we will calculate the prime factors of 91800 and 91808.

Prime Factorization of 91800

Prime Factorization of 91808

Now multiplying the highest exponent prime factors to calculate the LCM of 91800 and 91808.

LCM(91800,91808) = 2⁵ × 3³ × 5² × 17¹ × 19¹ × 151¹
LCM(91800,91808) = 1053496800