What is the Least Common Multiple of 40431 and 40442?

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 40431 and 40442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40431 and 40442, than apply into the LCM equation.

GCF(40431,40442) = 1
LCM(40431,40442) = ( 40431 × 40442) / 1
LCM(40431,40442) = 1635110502 / 1
LCM(40431,40442) = 1635110502

Least Common Multiple (LCM) of 40431 and 40442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40431 and 40442. First we will calculate the prime factors of 40431 and 40442.

Prime Factorization of 40431

Prime Factorization of 40442

Now multiplying the highest exponent prime factors to calculate the LCM of 40431 and 40442.

LCM(40431,40442) = 3¹ × 13477¹ × 2¹ × 73¹ × 277¹
LCM(40431,40442) = 1635110502