What is the Least Common Multiple of 40224 and 40233?

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 40233 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 40233, than apply into the LCM equation.

GCF(40224,40233) = 3
LCM(40224,40233) = ( 40224 × 40233) / 3
LCM(40224,40233) = 1618332192 / 3
LCM(40224,40233) = 539444064

Least Common Multiple (LCM) of 40224 and 40233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40224 and 40233. First we will calculate the prime factors of 40224 and 40233.

Prime Factorization of 40224

Prime Factorization of 40233

Now multiplying the highest exponent prime factors to calculate the LCM of 40224 and 40233.

LCM(40224,40233) = 2⁵ × 3¹ × 419¹ × 13411¹
LCM(40224,40233) = 539444064