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What is the Least Common Multiple of 16411 and 16430?

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 16430 is 269632730.

LCM(16411,16430) = 269632730

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Least Common Multiple of 16411 and 16430 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 16430, than apply into the LCM equation.

GCF(16411,16430) = 1
LCM(16411,16430) = ( 16411 × 16430) / 1
LCM(16411,16430) = 269632730 / 1
LCM(16411,16430) = 269632730

Least Common Multiple (LCM) of 16411 and 16430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16411 and 16430. First we will calculate the prime factors of 16411 and 16430.

Prime Factorization of 16411

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

16411 = 164111

Prime Factorization of 16430

Prime factors of 16430 are 2, 5, 31, 53. Prime factorization of 16430 in exponential form is:

16430 = 21 × 51 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 16411 and 16430.

LCM(16411,16430) = 164111 × 21 × 51 × 311 × 531
LCM(16411,16430) = 269632730