What is the Least Common Multiple of 40224 and 40229?

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 40224 and 40229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40224 and 40229, than apply into the LCM equation.

GCF(40224,40229) = 1
LCM(40224,40229) = ( 40224 × 40229) / 1
LCM(40224,40229) = 1618171296 / 1
LCM(40224,40229) = 1618171296

Least Common Multiple (LCM) of 40224 and 40229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40224 and 40229. First we will calculate the prime factors of 40224 and 40229.

Prime Factorization of 40224

Prime Factorization of 40229

Now multiplying the highest exponent prime factors to calculate the LCM of 40224 and 40229.

LCM(40224,40229) = 2⁵ × 3¹ × 419¹ × 7² × 821¹
LCM(40224,40229) = 1618171296