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What is the Least Common Multiple of 16517 and 16523?

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 16517 and 16523 is 272910391.

LCM(16517,16523) = 272910391

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Least Common Multiple of 16517 and 16523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16517 and 16523, than apply into the LCM equation.

GCF(16517,16523) = 1
LCM(16517,16523) = ( 16517 × 16523) / 1
LCM(16517,16523) = 272910391 / 1
LCM(16517,16523) = 272910391

Least Common Multiple (LCM) of 16517 and 16523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16517 and 16523. First we will calculate the prime factors of 16517 and 16523.

Prime Factorization of 16517

Prime factors of 16517 are 83, 199. Prime factorization of 16517 in exponential form is:

16517 = 831 × 1991

Prime Factorization of 16523

Prime factors of 16523 are 13, 31, 41. Prime factorization of 16523 in exponential form is:

16523 = 131 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 16517 and 16523.

LCM(16517,16523) = 831 × 1991 × 131 × 311 × 411
LCM(16517,16523) = 272910391