What is the Least Common Multiple of 40224 and 40239?

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 40239 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 40239, than apply into the LCM equation.

GCF(40224,40239) = 3
LCM(40224,40239) = ( 40224 × 40239) / 3
LCM(40224,40239) = 1618573536 / 3
LCM(40224,40239) = 539524512

Least Common Multiple (LCM) of 40224 and 40239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40224 and 40239. First we will calculate the prime factors of 40224 and 40239.

Prime Factorization of 40224

Prime Factorization of 40239

Now multiplying the highest exponent prime factors to calculate the LCM of 40224 and 40239.

LCM(40224,40239) = 2⁵ × 3² × 419¹ × 17¹ × 263¹
LCM(40224,40239) = 539524512