What is the Least Common Multiple of 30409 and 30421?

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 30409 and 30421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30409 and 30421, than apply into the LCM equation.

GCF(30409,30421) = 1
LCM(30409,30421) = ( 30409 × 30421) / 1
LCM(30409,30421) = 925072189 / 1
LCM(30409,30421) = 925072189

Least Common Multiple (LCM) of 30409 and 30421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30409 and 30421. First we will calculate the prime factors of 30409 and 30421.

Prime Factorization of 30409

Prime Factorization of 30421

Now multiplying the highest exponent prime factors to calculate the LCM of 30409 and 30421.

LCM(30409,30421) = 47¹ × 647¹ × 29¹ × 1049¹
LCM(30409,30421) = 925072189