What is the Least Common Multiple of 29388 and 29407?

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 29388 and 29407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29388 and 29407, than apply into the LCM equation.

GCF(29388,29407) = 1
LCM(29388,29407) = ( 29388 × 29407) / 1
LCM(29388,29407) = 864212916 / 1
LCM(29388,29407) = 864212916

Least Common Multiple (LCM) of 29388 and 29407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29388 and 29407. First we will calculate the prime factors of 29388 and 29407.

Prime Factorization of 29388

Prime Factorization of 29407

Now multiplying the highest exponent prime factors to calculate the LCM of 29388 and 29407.

LCM(29388,29407) = 2² × 3¹ × 31¹ × 79¹ × 7¹ × 4201¹
LCM(29388,29407) = 864212916