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What is the Least Common Multiple of 16408 and 16424?

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 16408 and 16424 is 33685624.

LCM(16408,16424) = 33685624

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Least Common Multiple of 16408 and 16424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16408 and 16424, than apply into the LCM equation.

GCF(16408,16424) = 8
LCM(16408,16424) = ( 16408 × 16424) / 8
LCM(16408,16424) = 269484992 / 8
LCM(16408,16424) = 33685624

Least Common Multiple (LCM) of 16408 and 16424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16408 and 16424. First we will calculate the prime factors of 16408 and 16424.

Prime Factorization of 16408

Prime factors of 16408 are 2, 7, 293. Prime factorization of 16408 in exponential form is:

16408 = 23 × 71 × 2931

Prime Factorization of 16424

Prime factors of 16424 are 2, 2053. Prime factorization of 16424 in exponential form is:

16424 = 23 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 16408 and 16424.

LCM(16408,16424) = 23 × 71 × 2931 × 20531
LCM(16408,16424) = 33685624