Least Common Multiple of 5452 and 5458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5452 and 5458 the smallest integer that is 14878508 that is divisible by both numbers.

Least Common Multiple (LCM) of 5452 and 5458 is 14878508.

LCM(5452,5458) = 14878508

LCM of 5452 and 5458

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

LCM of:
and

Least Common Multiple of 5452 and 5458

LCM of 5452 and 5458 is 14878508

Least common multiple can be found by multiplying the highest exponent prime factors of 5452 and 5458. First we will calculate the prime factors of 5452 and 5458.

Prime Factorization of 5452


2 5452
2 2726
29 1363
47 47
1

Prime factors of 5452 are 2, 29,47. Prime factorization of 5452 in exponential form is:

5452 = 22×291×471

Prime Factorization of 5458


2 5458
2729 2729
1

Prime factors of 5458 are 2,2729. Prime factorization of 5458 in exponential form is:

5458 = 21×27291

Now multiplying the highest exponent prime factors to calculate the LCM of 5452 and 5458.

LCM(5452,5458) = 22×291×471×27291
LCM(5452,5458) = 14878508

Factors of 5452

List of positive integer factors of 5452 that divides 5452 without a remainder.

1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452

Factors of 5458

List of positive integer factors of 5458 that divides 5458 without a remainder.

1, 2, 2729, 5458

Least Common Multiple of 5452 and 5458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5452 and 5458, than apply into the LCM equation.

GCF(5452,5458) = 2
LCM(5452,5458) = ( 5452 × 5458) / 2
LCM(5452,5458) = 29757016 / 2
LCM(5452,5458) = 14878508

Properties of LCM 5452 and 5458

(i) The LCM of 5458 and 5452 is associative

LCM of 5452 and 5458 = LCM of 5458 and 5452

Related Least Common Multiples of 5452

Related Least Common Multiples of 5458

Frequently Asked Questions on LCM of 5452 and 5458

1. What is the LCM of 5452 and 5458?

Answer: LCM of 5452 and 5458 is 14878508.

2. What are the Factors of 5452?

Answer: Factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452. There are 12 integers that are factors of 5452. The greatest factor of 5452 is 5452.

3. What are the Factors of 5458?

Answer: Factors of 5458 are 1, 2, 2729, 5458. There are 4 integers that are factors of 5458. The greatest factor of 5458 is 5458.

4. How to Find the LCM of 5452 and 5458?

Answer:

Least Common Multiple of 5452 and 5458 = 14878508

Step 1: Find the prime factorization of 5452

5452 = 2 x 2 x 29 x 47

Step 2: Find the prime factorization of 5458

5458 = 2 x 2729

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

LCM = 14878508 = 2 x 2 x 29 x 47 x 2729

Step 4: Therefore, the least common multiple of 5452 and 5458 is 14878508.