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What is the Least Common Multiple of 16411 and 16420?

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 16411 and 16420 is 269468620.

LCM(16411,16420) = 269468620

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Least Common Multiple of 16411 and 16420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16411 and 16420, than apply into the LCM equation.

GCF(16411,16420) = 1
LCM(16411,16420) = ( 16411 × 16420) / 1
LCM(16411,16420) = 269468620 / 1
LCM(16411,16420) = 269468620

Least Common Multiple (LCM) of 16411 and 16420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16411 and 16420. First we will calculate the prime factors of 16411 and 16420.

Prime Factorization of 16411

Prime factors of 16411 are 16411. Prime factorization of 16411 in exponential form is:

16411 = 164111

Prime Factorization of 16420

Prime factors of 16420 are 2, 5, 821. Prime factorization of 16420 in exponential form is:

16420 = 22 × 51 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 16411 and 16420.

LCM(16411,16420) = 164111 × 22 × 51 × 8211
LCM(16411,16420) = 269468620