Least Common Multiple of 13466 and 13474

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 13474 the smallest integer that is 90720442 that is divisible by both numbers.

Least Common Multiple (LCM) of 13466 and 13474 is 90720442.

LCM(13466,13474) = 90720442

LCM of 13466 and 13474

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

LCM of:
and

Least Common Multiple of 13466 and 13474

LCM of 13466 and 13474 is 90720442

Least common multiple can be found by multiplying the highest exponent prime factors of 13466 and 13474. First we will calculate the prime factors of 13466 and 13474.

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 13474


2 13474
6737 6737
1

Prime factors of 13474 are 2,6737. Prime factorization of 13474 in exponential form is:

13474 = 21×67371

Now multiplying the highest exponent prime factors to calculate the LCM of 13466 and 13474.

LCM(13466,13474) = 21×67331×67371
LCM(13466,13474) = 90720442

Factors of 13466

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

1, 2, 6733, 13466

Factors of 13474

List of positive integer factors of 13474 that divides 13474 without a remainder.

1, 2, 6737, 13474

Least Common Multiple of 13466 and 13474 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 13474, than apply into the LCM equation.

GCF(13466,13474) = 2
LCM(13466,13474) = ( 13466 × 13474) / 2
LCM(13466,13474) = 181440884 / 2
LCM(13466,13474) = 90720442

Properties of LCM 13466 and 13474

(i) The LCM of 13474 and 13466 is associative

LCM of 13466 and 13474 = LCM of 13474 and 13466

Related Least Common Multiples of 13466

Related Least Common Multiples of 13474

Frequently Asked Questions on LCM of 13466 and 13474

1. What is the LCM of 13466 and 13474?

Answer: LCM of 13466 and 13474 is 90720442.

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 13474?

Answer: Factors of 13474 are 1, 2, 6737, 13474. There are 4 integers that are factors of 13474. The greatest factor of 13474 is 13474.

4. How to Find the LCM of 13466 and 13474?

Answer:

Least Common Multiple of 13466 and 13474 = 90720442

Step 1: Find the prime factorization of 13466

13466 = 2 x 6733

Step 2: Find the prime factorization of 13474

13474 = 2 x 6737

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

LCM = 90720442 = 2 x 6733 x 6737

Step 4: Therefore, the least common multiple of 13466 and 13474 is 90720442.