Least Common Multiple of 13439 and 13446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13439 and 13446 the smallest integer that is 180700794 that is divisible by both numbers.

Least Common Multiple (LCM) of 13439 and 13446 is 180700794.

LCM(13439,13446) = 180700794

LCM of 13439 and 13446

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

LCM of:
and

Least Common Multiple of 13439 and 13446

LCM of 13439 and 13446 is 180700794

Least common multiple can be found by multiplying the highest exponent prime factors of 13439 and 13446. First we will calculate the prime factors of 13439 and 13446.

Prime Factorization of 13439


89 13439
151 151
1

Prime factors of 13439 are 89,151. Prime factorization of 13439 in exponential form is:

13439 = 891×1511

Prime Factorization of 13446


2 13446
3 6723
3 2241
3 747
3 249
83 83
1

Prime factors of 13446 are 2, 3,83. Prime factorization of 13446 in exponential form is:

13446 = 21×34×831

Now multiplying the highest exponent prime factors to calculate the LCM of 13439 and 13446.

LCM(13439,13446) = 21×34×831×891×1511
LCM(13439,13446) = 180700794

Factors of 13439

List of positive integer factors of 13439 that divides 13439 without a remainder.

1, 89, 151, 13439

Factors of 13446

List of positive integer factors of 13446 that divides 13446 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 249, 498, 747, 1494, 2241, 4482, 6723, 13446

Least Common Multiple of 13439 and 13446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13439 and 13446, than apply into the LCM equation.

GCF(13439,13446) = 1
LCM(13439,13446) = ( 13439 × 13446) / 1
LCM(13439,13446) = 180700794 / 1
LCM(13439,13446) = 180700794

Properties of LCM 13439 and 13446

(i) The LCM of 13446 and 13439 is associative

LCM of 13439 and 13446 = LCM of 13446 and 13439

Related Least Common Multiples of 13439

Related Least Common Multiples of 13446

Frequently Asked Questions on LCM of 13439 and 13446

1. What is the LCM of 13439 and 13446?

Answer: LCM of 13439 and 13446 is 180700794.

2. What are the Factors of 13439?

Answer: Factors of 13439 are 1, 89, 151, 13439. There are 4 integers that are factors of 13439. The greatest factor of 13439 is 13439.

3. What are the Factors of 13446?

Answer: Factors of 13446 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 249, 498, 747, 1494, 2241, 4482, 6723, 13446. There are 20 integers that are factors of 13446. The greatest factor of 13446 is 13446.

4. How to Find the LCM of 13439 and 13446?

Answer:

Least Common Multiple of 13439 and 13446 = 180700794

Step 1: Find the prime factorization of 13439

13439 = 89 x 151

Step 2: Find the prime factorization of 13446

13446 = 2 x 3 x 3 x 3 x 3 x 83

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

LCM = 180700794 = 2 x 3 x 3 x 3 x 3 x 83 x 89 x 151

Step 4: Therefore, the least common multiple of 13439 and 13446 is 180700794.