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What is the Least Common Multiple of 16403 and 16416?

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 16403 and 16416 is 269271648.

LCM(16403,16416) = 269271648

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Least Common Multiple of 16403 and 16416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16403 and 16416, than apply into the LCM equation.

GCF(16403,16416) = 1
LCM(16403,16416) = ( 16403 × 16416) / 1
LCM(16403,16416) = 269271648 / 1
LCM(16403,16416) = 269271648

Least Common Multiple (LCM) of 16403 and 16416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16403 and 16416. First we will calculate the prime factors of 16403 and 16416.

Prime Factorization of 16403

Prime factors of 16403 are 47, 349. Prime factorization of 16403 in exponential form is:

16403 = 471 × 3491

Prime Factorization of 16416

Prime factors of 16416 are 2, 3, 19. Prime factorization of 16416 in exponential form is:

16416 = 25 × 33 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 16403 and 16416.

LCM(16403,16416) = 471 × 3491 × 25 × 33 × 191
LCM(16403,16416) = 269271648