What is the Least Common Multiple of 40238 and 40254?

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 40238 and 40254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40238 and 40254, than apply into the LCM equation.

GCF(40238,40254) = 2
LCM(40238,40254) = ( 40238 × 40254) / 2
LCM(40238,40254) = 1619740452 / 2
LCM(40238,40254) = 809870226

Least Common Multiple (LCM) of 40238 and 40254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40238 and 40254. First we will calculate the prime factors of 40238 and 40254.

Prime Factorization of 40238

Prime Factorization of 40254

Now multiplying the highest exponent prime factors to calculate the LCM of 40238 and 40254.

LCM(40238,40254) = 2¹ × 11¹ × 31¹ × 59¹ × 3¹ × 6709¹
LCM(40238,40254) = 809870226