What is the Least Common Multiple of 40230 and 40238?

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 40230 and 40238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40230 and 40238, than apply into the LCM equation.

GCF(40230,40238) = 2
LCM(40230,40238) = ( 40230 × 40238) / 2
LCM(40230,40238) = 1618774740 / 2
LCM(40230,40238) = 809387370

Least Common Multiple (LCM) of 40230 and 40238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40230 and 40238. First we will calculate the prime factors of 40230 and 40238.

Prime Factorization of 40230

Prime Factorization of 40238

Now multiplying the highest exponent prime factors to calculate the LCM of 40230 and 40238.

LCM(40230,40238) = 2¹ × 3³ × 5¹ × 149¹ × 11¹ × 31¹ × 59¹
LCM(40230,40238) = 809387370