What is the Least Common Multiple of 40089 and 40096?

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 40089 and 40096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40089 and 40096, than apply into the LCM equation.

GCF(40089,40096) = 7
LCM(40089,40096) = ( 40089 × 40096) / 7
LCM(40089,40096) = 1607408544 / 7
LCM(40089,40096) = 229629792

Least Common Multiple (LCM) of 40089 and 40096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40089 and 40096. First we will calculate the prime factors of 40089 and 40096.

Prime Factorization of 40089

Prime Factorization of 40096

Now multiplying the highest exponent prime factors to calculate the LCM of 40089 and 40096.

LCM(40089,40096) = 3¹ × 7¹ × 23¹ × 83¹ × 2⁵ × 179¹
LCM(40089,40096) = 229629792