GCF and LCM Calculator Logo

What is the Least Common Multiple of 30404 and 30409?

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 (LCM) of 30404 and 30409 is 924555236.

LCM(30404,30409) = 924555236

LCM Calculator and
and

Least Common Multiple of 30404 and 30409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30404 and 30409, than apply into the LCM equation.

GCF(30404,30409) = 1
LCM(30404,30409) = ( 30404 × 30409) / 1
LCM(30404,30409) = 924555236 / 1
LCM(30404,30409) = 924555236

Least Common Multiple (LCM) of 30404 and 30409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30404 and 30409. First we will calculate the prime factors of 30404 and 30409.

Prime Factorization of 30404

Prime factors of 30404 are 2, 11, 691. Prime factorization of 30404 in exponential form is:

30404 = 22 × 111 × 6911

Prime Factorization of 30409

Prime factors of 30409 are 47, 647. Prime factorization of 30409 in exponential form is:

30409 = 471 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 30404 and 30409.

LCM(30404,30409) = 22 × 111 × 6911 × 471 × 6471
LCM(30404,30409) = 924555236