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What is the Least Common Multiple of 16390 and 16401?

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 16390 and 16401 is 24437490.

LCM(16390,16401) = 24437490

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Least Common Multiple of 16390 and 16401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16390 and 16401, than apply into the LCM equation.

GCF(16390,16401) = 11
LCM(16390,16401) = ( 16390 × 16401) / 11
LCM(16390,16401) = 268812390 / 11
LCM(16390,16401) = 24437490

Least Common Multiple (LCM) of 16390 and 16401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16390 and 16401. First we will calculate the prime factors of 16390 and 16401.

Prime Factorization of 16390

Prime factors of 16390 are 2, 5, 11, 149. Prime factorization of 16390 in exponential form is:

16390 = 21 × 51 × 111 × 1491

Prime Factorization of 16401

Prime factors of 16401 are 3, 7, 11, 71. Prime factorization of 16401 in exponential form is:

16401 = 31 × 71 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 16390 and 16401.

LCM(16390,16401) = 21 × 51 × 111 × 1491 × 31 × 71 × 711
LCM(16390,16401) = 24437490