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What is the Least Common Multiple of 16270 and 16280?

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 16270 and 16280 is 26487560.

LCM(16270,16280) = 26487560

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Least Common Multiple of 16270 and 16280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16270 and 16280, than apply into the LCM equation.

GCF(16270,16280) = 10
LCM(16270,16280) = ( 16270 × 16280) / 10
LCM(16270,16280) = 264875600 / 10
LCM(16270,16280) = 26487560

Least Common Multiple (LCM) of 16270 and 16280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16270 and 16280. First we will calculate the prime factors of 16270 and 16280.

Prime Factorization of 16270

Prime factors of 16270 are 2, 5, 1627. Prime factorization of 16270 in exponential form is:

16270 = 21 × 51 × 16271

Prime Factorization of 16280

Prime factors of 16280 are 2, 5, 11, 37. Prime factorization of 16280 in exponential form is:

16280 = 23 × 51 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 16270 and 16280.

LCM(16270,16280) = 23 × 51 × 16271 × 111 × 371
LCM(16270,16280) = 26487560