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What is the Least Common Multiple of 16393 and 16413?

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 16393 and 16413 is 269058309.

LCM(16393,16413) = 269058309

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Least Common Multiple of 16393 and 16413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16393 and 16413, than apply into the LCM equation.

GCF(16393,16413) = 1
LCM(16393,16413) = ( 16393 × 16413) / 1
LCM(16393,16413) = 269058309 / 1
LCM(16393,16413) = 269058309

Least Common Multiple (LCM) of 16393 and 16413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16393 and 16413. First we will calculate the prime factors of 16393 and 16413.

Prime Factorization of 16393

Prime factors of 16393 are 13, 97. Prime factorization of 16393 in exponential form is:

16393 = 132 × 971

Prime Factorization of 16413

Prime factors of 16413 are 3, 5471. Prime factorization of 16413 in exponential form is:

16413 = 31 × 54711

Now multiplying the highest exponent prime factors to calculate the LCM of 16393 and 16413.

LCM(16393,16413) = 132 × 971 × 31 × 54711
LCM(16393,16413) = 269058309