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What is the Least Common Multiple of 16369 and 16381?

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 16369 and 16381 is 268140589.

LCM(16369,16381) = 268140589

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Least Common Multiple of 16369 and 16381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16369 and 16381, than apply into the LCM equation.

GCF(16369,16381) = 1
LCM(16369,16381) = ( 16369 × 16381) / 1
LCM(16369,16381) = 268140589 / 1
LCM(16369,16381) = 268140589

Least Common Multiple (LCM) of 16369 and 16381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16369 and 16381. First we will calculate the prime factors of 16369 and 16381.

Prime Factorization of 16369

Prime factors of 16369 are 16369. Prime factorization of 16369 in exponential form is:

16369 = 163691

Prime Factorization of 16381

Prime factors of 16381 are 16381. Prime factorization of 16381 in exponential form is:

16381 = 163811

Now multiplying the highest exponent prime factors to calculate the LCM of 16369 and 16381.

LCM(16369,16381) = 163691 × 163811
LCM(16369,16381) = 268140589