What is the Least Common Multiple of 91824 and 91839?

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 91824 and 91839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91824 and 91839, than apply into the LCM equation.

GCF(91824,91839) = 3
LCM(91824,91839) = ( 91824 × 91839) / 3
LCM(91824,91839) = 8433024336 / 3
LCM(91824,91839) = 2811008112

Least Common Multiple (LCM) of 91824 and 91839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91824 and 91839. First we will calculate the prime factors of 91824 and 91839.

Prime Factorization of 91824

Prime Factorization of 91839

Now multiplying the highest exponent prime factors to calculate the LCM of 91824 and 91839.

LCM(91824,91839) = 2⁴ × 3¹ × 1913¹ × 11³ × 23¹
LCM(91824,91839) = 2811008112