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What is the Least Common Multiple of 16404 and 16421?

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 16404 and 16421 is 269370084.

LCM(16404,16421) = 269370084

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Least Common Multiple of 16404 and 16421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16404 and 16421, than apply into the LCM equation.

GCF(16404,16421) = 1
LCM(16404,16421) = ( 16404 × 16421) / 1
LCM(16404,16421) = 269370084 / 1
LCM(16404,16421) = 269370084

Least Common Multiple (LCM) of 16404 and 16421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16404 and 16421. First we will calculate the prime factors of 16404 and 16421.

Prime Factorization of 16404

Prime factors of 16404 are 2, 3, 1367. Prime factorization of 16404 in exponential form is:

16404 = 22 × 31 × 13671

Prime Factorization of 16421

Prime factors of 16421 are 16421. Prime factorization of 16421 in exponential form is:

16421 = 164211

Now multiplying the highest exponent prime factors to calculate the LCM of 16404 and 16421.

LCM(16404,16421) = 22 × 31 × 13671 × 164211
LCM(16404,16421) = 269370084