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What is the Least Common Multiple of 16493 and 16503?

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 16493 and 16503 is 272183979.

LCM(16493,16503) = 272183979

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Least Common Multiple of 16493 and 16503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16493 and 16503, than apply into the LCM equation.

GCF(16493,16503) = 1
LCM(16493,16503) = ( 16493 × 16503) / 1
LCM(16493,16503) = 272183979 / 1
LCM(16493,16503) = 272183979

Least Common Multiple (LCM) of 16493 and 16503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16493 and 16503. First we will calculate the prime factors of 16493 and 16503.

Prime Factorization of 16493

Prime factors of 16493 are 16493. Prime factorization of 16493 in exponential form is:

16493 = 164931

Prime Factorization of 16503

Prime factors of 16503 are 3, 5501. Prime factorization of 16503 in exponential form is:

16503 = 31 × 55011

Now multiplying the highest exponent prime factors to calculate the LCM of 16493 and 16503.

LCM(16493,16503) = 164931 × 31 × 55011
LCM(16493,16503) = 272183979