What is the Least Common Multiple of 96005 and 96023?

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 96005 and 96023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96005 and 96023, than apply into the LCM equation.

GCF(96005,96023) = 1
LCM(96005,96023) = ( 96005 × 96023) / 1
LCM(96005,96023) = 9218688115 / 1
LCM(96005,96023) = 9218688115

Least Common Multiple (LCM) of 96005 and 96023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96005 and 96023. First we will calculate the prime factors of 96005 and 96023.

Prime Factorization of 96005

Prime Factorization of 96023

Now multiplying the highest exponent prime factors to calculate the LCM of 96005 and 96023.

LCM(96005,96023) = 5¹ × 7¹ × 13¹ × 211¹ × 131¹ × 733¹
LCM(96005,96023) = 9218688115