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What is the Least Common Multiple of 16510 and 16520?

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 16510 and 16520 is 27274520.

LCM(16510,16520) = 27274520

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Least Common Multiple of 16510 and 16520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16510 and 16520, than apply into the LCM equation.

GCF(16510,16520) = 10
LCM(16510,16520) = ( 16510 × 16520) / 10
LCM(16510,16520) = 272745200 / 10
LCM(16510,16520) = 27274520

Least Common Multiple (LCM) of 16510 and 16520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16510 and 16520. First we will calculate the prime factors of 16510 and 16520.

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

Prime Factorization of 16520

Prime factors of 16520 are 2, 5, 7, 59. Prime factorization of 16520 in exponential form is:

16520 = 23 × 51 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 16510 and 16520.

LCM(16510,16520) = 23 × 51 × 131 × 1271 × 71 × 591
LCM(16510,16520) = 27274520