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What is the Least Common Multiple of 16501 and 16510?

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 16501 and 16510 is 272431510.

LCM(16501,16510) = 272431510

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Least Common Multiple of 16501 and 16510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16501 and 16510, than apply into the LCM equation.

GCF(16501,16510) = 1
LCM(16501,16510) = ( 16501 × 16510) / 1
LCM(16501,16510) = 272431510 / 1
LCM(16501,16510) = 272431510

Least Common Multiple (LCM) of 16501 and 16510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16501 and 16510. First we will calculate the prime factors of 16501 and 16510.

Prime Factorization of 16501

Prime factors of 16501 are 29, 569. Prime factorization of 16501 in exponential form is:

16501 = 291 × 5691

Prime Factorization of 16510

Prime factors of 16510 are 2, 5, 13, 127. Prime factorization of 16510 in exponential form is:

16510 = 21 × 51 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 16501 and 16510.

LCM(16501,16510) = 291 × 5691 × 21 × 51 × 131 × 1271
LCM(16501,16510) = 272431510