Least Common Multiple of 13462 and 13466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13462 and 13466 the smallest integer that is 90639646 that is divisible by both numbers.

Least Common Multiple (LCM) of 13462 and 13466 is 90639646.

LCM(13462,13466) = 90639646

LCM of 13462 and 13466

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

LCM of:
and

Least Common Multiple of 13462 and 13466

LCM of 13462 and 13466 is 90639646

Least common multiple can be found by multiplying the highest exponent prime factors of 13462 and 13466. First we will calculate the prime factors of 13462 and 13466.

Prime Factorization of 13462


2 13462
53 6731
127 127
1

Prime factors of 13462 are 2, 53,127. Prime factorization of 13462 in exponential form is:

13462 = 21×531×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13462 and 13466.

LCM(13462,13466) = 21×531×1271×67331
LCM(13462,13466) = 90639646

Factors of 13462

List of positive integer factors of 13462 that divides 13462 without a remainder.

1, 2, 53, 106, 127, 254, 6731, 13462

Factors of 13466

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

1, 2, 6733, 13466

Least Common Multiple of 13462 and 13466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13462 and 13466, than apply into the LCM equation.

GCF(13462,13466) = 2
LCM(13462,13466) = ( 13462 × 13466) / 2
LCM(13462,13466) = 181279292 / 2
LCM(13462,13466) = 90639646

Properties of LCM 13462 and 13466

(i) The LCM of 13466 and 13462 is associative

LCM of 13462 and 13466 = LCM of 13466 and 13462

Related Least Common Multiples of 13462

Related Least Common Multiples of 13466

Frequently Asked Questions on LCM of 13462 and 13466

1. What is the LCM of 13462 and 13466?

Answer: LCM of 13462 and 13466 is 90639646.

2. What are the Factors of 13462?

Answer: Factors of 13462 are 1, 2, 53, 106, 127, 254, 6731, 13462. There are 8 integers that are factors of 13462. The greatest factor of 13462 is 13462.

3. 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.

4. How to Find the LCM of 13462 and 13466?

Answer:

Least Common Multiple of 13462 and 13466 = 90639646

Step 1: Find the prime factorization of 13462

13462 = 2 x 53 x 127

Step 2: Find the prime factorization of 13466

13466 = 2 x 6733

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

LCM = 90639646 = 2 x 53 x 127 x 6733

Step 4: Therefore, the least common multiple of 13462 and 13466 is 90639646.