Least Common Multiple of 13462 and 13468

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 13468 the smallest integer that is 90653108 that is divisible by both numbers.

Least Common Multiple (LCM) of 13462 and 13468 is 90653108.

LCM(13462,13468) = 90653108

LCM of 13462 and 13468

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

LCM of:
and

Least Common Multiple of 13462 and 13468

LCM of 13462 and 13468 is 90653108

Least common multiple can be found by multiplying the highest exponent prime factors of 13462 and 13468. First we will calculate the prime factors of 13462 and 13468.

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 13468


2 13468
2 6734
7 3367
13 481
37 37
1

Prime factors of 13468 are 2, 7, 13,37. Prime factorization of 13468 in exponential form is:

13468 = 22×71×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 13462 and 13468.

LCM(13462,13468) = 22×71×131×371×531×1271
LCM(13462,13468) = 90653108

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 13468

List of positive integer factors of 13468 that divides 13468 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 37, 52, 74, 91, 148, 182, 259, 364, 481, 518, 962, 1036, 1924, 3367, 6734, 13468

Least Common Multiple of 13462 and 13468 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 13468, than apply into the LCM equation.

GCF(13462,13468) = 2
LCM(13462,13468) = ( 13462 × 13468) / 2
LCM(13462,13468) = 181306216 / 2
LCM(13462,13468) = 90653108

Properties of LCM 13462 and 13468

(i) The LCM of 13468 and 13462 is associative

LCM of 13462 and 13468 = LCM of 13468 and 13462

Related Least Common Multiples of 13462

Related Least Common Multiples of 13468

Frequently Asked Questions on LCM of 13462 and 13468

1. What is the LCM of 13462 and 13468?

Answer: LCM of 13462 and 13468 is 90653108.

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 13468?

Answer: Factors of 13468 are 1, 2, 4, 7, 13, 14, 26, 28, 37, 52, 74, 91, 148, 182, 259, 364, 481, 518, 962, 1036, 1924, 3367, 6734, 13468. There are 24 integers that are factors of 13468. The greatest factor of 13468 is 13468.

4. How to Find the LCM of 13462 and 13468?

Answer:

Least Common Multiple of 13462 and 13468 = 90653108

Step 1: Find the prime factorization of 13462

13462 = 2 x 53 x 127

Step 2: Find the prime factorization of 13468

13468 = 2 x 2 x 7 x 13 x 37

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

LCM = 90653108 = 2 x 2 x 7 x 13 x 37 x 53 x 127

Step 4: Therefore, the least common multiple of 13462 and 13468 is 90653108.