What is the Least Common Multiple of 40269 and 40281?

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 40269 and 40281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40269 and 40281, than apply into the LCM equation.

GCF(40269,40281) = 3
LCM(40269,40281) = ( 40269 × 40281) / 3
LCM(40269,40281) = 1622075589 / 3
LCM(40269,40281) = 540691863

Least Common Multiple (LCM) of 40269 and 40281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40269 and 40281. First we will calculate the prime factors of 40269 and 40281.

Prime Factorization of 40269

Prime Factorization of 40281

Now multiplying the highest exponent prime factors to calculate the LCM of 40269 and 40281.

LCM(40269,40281) = 3¹ × 31¹ × 433¹ × 29¹ × 463¹
LCM(40269,40281) = 540691863