What is the Least Common Multiple of 30429 and 30449?

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 30429 and 30449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30429 and 30449, than apply into the LCM equation.

GCF(30429,30449) = 1
LCM(30429,30449) = ( 30429 × 30449) / 1
LCM(30429,30449) = 926532621 / 1
LCM(30429,30449) = 926532621

Least Common Multiple (LCM) of 30429 and 30449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30429 and 30449. First we will calculate the prime factors of 30429 and 30449.

Prime Factorization of 30429

Prime Factorization of 30449

Now multiplying the highest exponent prime factors to calculate the LCM of 30429 and 30449.

LCM(30429,30449) = 3³ × 7² × 23¹ × 30449¹
LCM(30429,30449) = 926532621