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What is the Least Common Multiple of 16403 and 16410?

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 16410 is 269173230.

LCM(16403,16410) = 269173230

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Least Common Multiple of 16403 and 16410 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 16410, than apply into the LCM equation.

GCF(16403,16410) = 1
LCM(16403,16410) = ( 16403 × 16410) / 1
LCM(16403,16410) = 269173230 / 1
LCM(16403,16410) = 269173230

Least Common Multiple (LCM) of 16403 and 16410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16403 and 16410. First we will calculate the prime factors of 16403 and 16410.

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 16410

Prime factors of 16410 are 2, 3, 5, 547. Prime factorization of 16410 in exponential form is:

16410 = 21 × 31 × 51 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 16403 and 16410.

LCM(16403,16410) = 471 × 3491 × 21 × 31 × 51 × 5471
LCM(16403,16410) = 269173230