What is the Least Common Multiple of 29427 and 29442?

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 29427 and 29442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29427 and 29442, than apply into the LCM equation.

GCF(29427,29442) = 3
LCM(29427,29442) = ( 29427 × 29442) / 3
LCM(29427,29442) = 866389734 / 3
LCM(29427,29442) = 288796578

Least Common Multiple (LCM) of 29427 and 29442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29427 and 29442. First we will calculate the prime factors of 29427 and 29442.

Prime Factorization of 29427

Prime Factorization of 29442

Now multiplying the highest exponent prime factors to calculate the LCM of 29427 and 29442.

LCM(29427,29442) = 3¹ × 17¹ × 577¹ × 2¹ × 7¹ × 701¹
LCM(29427,29442) = 288796578