What is the Least Common Multiple of 30396 and 30403?

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 30396 and 30403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30396 and 30403, than apply into the LCM equation.

GCF(30396,30403) = 1
LCM(30396,30403) = ( 30396 × 30403) / 1
LCM(30396,30403) = 924129588 / 1
LCM(30396,30403) = 924129588

Least Common Multiple (LCM) of 30396 and 30403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30396 and 30403. First we will calculate the prime factors of 30396 and 30403.

Prime Factorization of 30396

Prime Factorization of 30403

Now multiplying the highest exponent prime factors to calculate the LCM of 30396 and 30403.

LCM(30396,30403) = 2² × 3¹ × 17¹ × 149¹ × 30403¹
LCM(30396,30403) = 924129588