Least Common Multiple of 13452 and 13458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13452 and 13458 the smallest integer that is 30172836 that is divisible by both numbers.

Least Common Multiple (LCM) of 13452 and 13458 is 30172836.

LCM(13452,13458) = 30172836

LCM of 13452 and 13458

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

LCM of:
and

Least Common Multiple of 13452 and 13458

LCM of 13452 and 13458 is 30172836

Least common multiple can be found by multiplying the highest exponent prime factors of 13452 and 13458. First we will calculate the prime factors of 13452 and 13458.

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

Prime Factorization of 13458


2 13458
3 6729
2243 2243
1

Prime factors of 13458 are 2, 3,2243. Prime factorization of 13458 in exponential form is:

13458 = 21×31×22431

Now multiplying the highest exponent prime factors to calculate the LCM of 13452 and 13458.

LCM(13452,13458) = 22×31×191×591×22431
LCM(13452,13458) = 30172836

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

Factors of 13458

List of positive integer factors of 13458 that divides 13458 without a remainder.

1, 2, 3, 6, 2243, 4486, 6729, 13458

Least Common Multiple of 13452 and 13458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13452 and 13458, than apply into the LCM equation.

GCF(13452,13458) = 6
LCM(13452,13458) = ( 13452 × 13458) / 6
LCM(13452,13458) = 181037016 / 6
LCM(13452,13458) = 30172836

Properties of LCM 13452 and 13458

(i) The LCM of 13458 and 13452 is associative

LCM of 13452 and 13458 = LCM of 13458 and 13452

Related Least Common Multiples of 13452

Related Least Common Multiples of 13458

Frequently Asked Questions on LCM of 13452 and 13458

1. What is the LCM of 13452 and 13458?

Answer: LCM of 13452 and 13458 is 30172836.

2. 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.

3. What are the Factors of 13458?

Answer: Factors of 13458 are 1, 2, 3, 6, 2243, 4486, 6729, 13458. There are 8 integers that are factors of 13458. The greatest factor of 13458 is 13458.

4. How to Find the LCM of 13452 and 13458?

Answer:

Least Common Multiple of 13452 and 13458 = 30172836

Step 1: Find the prime factorization of 13452

13452 = 2 x 2 x 3 x 19 x 59

Step 2: Find the prime factorization of 13458

13458 = 2 x 3 x 2243

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

LCM = 30172836 = 2 x 2 x 3 x 19 x 59 x 2243

Step 4: Therefore, the least common multiple of 13452 and 13458 is 30172836.