Least Common Multiple of 16401 and 16409

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 16401 and 16409 by Prime method
• Least Common Multiple of 16401 and 16409 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 16401 and 16409. First we will calculate the prime factors of 16401 and 16409.

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

Prime Factorization of 16409

Prime factors of 16409 are 61,269. Prime factorization of 16409 in exponential form is:

16409 = 61¹×269¹

Now multiplying the highest exponent prime factors to calculate the LCM of 16401 and 16409.

LCM(16401,16409) = 3¹×7¹×11¹×61¹×71¹×269¹
LCM(16401,16409) = 269124009

Factors of 16401

List of positive integer factors of 16401 that divides 16401 without a remainder.

1, 3, 7, 11, 21, 33, 71, 77, 213, 231, 497, 781, 1491, 2343, 5467, 16401

Factors of 16409

List of positive integer factors of 16409 that divides 16409 without a remainder.

1, 61, 269, 16409

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16401 and 16409, than apply into the LCM equation.

GCF(16401,16409) = 1
LCM(16401,16409) = ( 16401 × 16409) / 1
LCM(16401,16409) = 269124009 / 1
LCM(16401,16409) = 269124009

(i) The LCM of 16409 and 16401 is associative

LCM of 16401 and 16409 = LCM of 16409 and 16401

1. What is the LCM of 16401 and 16409?

Answer: LCM of 16401 and 16409 is 269124009.

2. What are the Factors of 16401?

Answer: Factors of 16401 are 1, 3, 7, 11, 21, 33, 71, 77, 213, 231, 497, 781, 1491, 2343, 5467, 16401. There are 16 integers that are factors of 16401. The greatest factor of 16401 is 16401.

3. What are the Factors of 16409?

Answer: Factors of 16409 are 1, 61, 269, 16409. There are 4 integers that are factors of 16409. The greatest factor of 16409 is 16409.

4. How to Find the LCM of 16401 and 16409?

Answer:

Least Common Multiple of 16401 and 16409 = 269124009

Step 1: Find the prime factorization of 16401

16401 = 3 x 7 x 11 x 71

Step 2: Find the prime factorization of 16409

16409 = 61 x 269

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 269124009 = 3 x 7 x 11 x 61 x 71 x 269

Step 4: Therefore, the least common multiple of 16401 and 16409 is 269124009.