Least Common Multiple of 13466 and 13471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13466 and 13471 the smallest integer that is 181400486 that is divisible by both numbers.

Least Common Multiple (LCM) of 13466 and 13471 is 181400486.

LCM(13466,13471) = 181400486

LCM of 13466 and 13471

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

LCM of:
and

Least Common Multiple of 13466 and 13471

LCM of 13466 and 13471 is 181400486

Least common multiple can be found by multiplying the highest exponent prime factors of 13466 and 13471. First we will calculate the prime factors of 13466 and 13471.

Prime Factorization of 13466


2 13466
6733 6733
1

Prime factors of 13466 are 2,6733. Prime factorization of 13466 in exponential form is:

13466 = 21×67331

Prime Factorization of 13471


19 13471
709 709
1

Prime factors of 13471 are 19,709. Prime factorization of 13471 in exponential form is:

13471 = 191×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 13466 and 13471.

LCM(13466,13471) = 21×191×7091×67331
LCM(13466,13471) = 181400486

Factors of 13466

List of positive integer factors of 13466 that divides 13466 without a remainder.

1, 2, 6733, 13466

Factors of 13471

List of positive integer factors of 13471 that divides 13471 without a remainder.

1, 19, 709, 13471

Least Common Multiple of 13466 and 13471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13466 and 13471, than apply into the LCM equation.

GCF(13466,13471) = 1
LCM(13466,13471) = ( 13466 × 13471) / 1
LCM(13466,13471) = 181400486 / 1
LCM(13466,13471) = 181400486

Properties of LCM 13466 and 13471

(i) The LCM of 13471 and 13466 is associative

LCM of 13466 and 13471 = LCM of 13471 and 13466

Related Least Common Multiples of 13466

Related Least Common Multiples of 13471

Frequently Asked Questions on LCM of 13466 and 13471

1. What is the LCM of 13466 and 13471?

Answer: LCM of 13466 and 13471 is 181400486.

2. What are the Factors of 13466?

Answer: Factors of 13466 are 1, 2, 6733, 13466. There are 4 integers that are factors of 13466. The greatest factor of 13466 is 13466.

3. What are the Factors of 13471?

Answer: Factors of 13471 are 1, 19, 709, 13471. There are 4 integers that are factors of 13471. The greatest factor of 13471 is 13471.

4. How to Find the LCM of 13466 and 13471?

Answer:

Least Common Multiple of 13466 and 13471 = 181400486

Step 1: Find the prime factorization of 13466

13466 = 2 x 6733

Step 2: Find the prime factorization of 13471

13471 = 19 x 709

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

LCM = 181400486 = 2 x 19 x 709 x 6733

Step 4: Therefore, the least common multiple of 13466 and 13471 is 181400486.