Least Common Multiple of 13446 and 13452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13446 and 13452 the smallest integer that is 30145932 that is divisible by both numbers.

Least Common Multiple (LCM) of 13446 and 13452 is 30145932.

LCM(13446,13452) = 30145932

LCM of 13446 and 13452

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

LCM of:
and

Least Common Multiple of 13446 and 13452

LCM of 13446 and 13452 is 30145932

Least common multiple can be found by multiplying the highest exponent prime factors of 13446 and 13452. First we will calculate the prime factors of 13446 and 13452.

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

Prime Factorization of 13452


2 13452
2 6726
3 3363
19 1121
59 59
1

Prime factors of 13452 are 2, 3, 19,59. Prime factorization of 13452 in exponential form is:

13452 = 22×31×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 13446 and 13452.

LCM(13446,13452) = 22×34×191×591×831
LCM(13446,13452) = 30145932

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

Factors of 13452

List of positive integer factors of 13452 that divides 13452 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 59, 76, 114, 118, 177, 228, 236, 354, 708, 1121, 2242, 3363, 4484, 6726, 13452

Least Common Multiple of 13446 and 13452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13446 and 13452, than apply into the LCM equation.

GCF(13446,13452) = 6
LCM(13446,13452) = ( 13446 × 13452) / 6
LCM(13446,13452) = 180875592 / 6
LCM(13446,13452) = 30145932

Properties of LCM 13446 and 13452

(i) The LCM of 13452 and 13446 is associative

LCM of 13446 and 13452 = LCM of 13452 and 13446

Related Least Common Multiples of 13446

Related Least Common Multiples of 13452

Frequently Asked Questions on LCM of 13446 and 13452

1. What is the LCM of 13446 and 13452?

Answer: LCM of 13446 and 13452 is 30145932.

2. 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.

3. What are the Factors of 13452?

Answer: Factors of 13452 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 59, 76, 114, 118, 177, 228, 236, 354, 708, 1121, 2242, 3363, 4484, 6726, 13452. There are 24 integers that are factors of 13452. The greatest factor of 13452 is 13452.

4. How to Find the LCM of 13446 and 13452?

Answer:

Least Common Multiple of 13446 and 13452 = 30145932

Step 1: Find the prime factorization of 13446

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

Step 2: Find the prime factorization of 13452

13452 = 2 x 2 x 3 x 19 x 59

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

LCM = 30145932 = 2 x 2 x 3 x 3 x 3 x 3 x 19 x 59 x 83

Step 4: Therefore, the least common multiple of 13446 and 13452 is 30145932.