Least Common Multiple of 5452 and 5460

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 5460 the smallest integer that is 7441980 that is divisible by both numbers.

Least Common Multiple (LCM) of 5452 and 5460 is 7441980.

LCM(5452,5460) = 7441980

LCM of 5452 and 5460

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

LCM of:
and

Least Common Multiple of 5452 and 5460

LCM of 5452 and 5460 is 7441980

Least common multiple can be found by multiplying the highest exponent prime factors of 5452 and 5460. First we will calculate the prime factors of 5452 and 5460.

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 5460


2 5460
2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 5460 are 2, 3, 5, 7,13. Prime factorization of 5460 in exponential form is:

5460 = 22×31×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5452 and 5460.

LCM(5452,5460) = 22×31×51×71×131×291×471
LCM(5452,5460) = 7441980

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 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460

Least Common Multiple of 5452 and 5460 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 5460, than apply into the LCM equation.

GCF(5452,5460) = 4
LCM(5452,5460) = ( 5452 × 5460) / 4
LCM(5452,5460) = 29767920 / 4
LCM(5452,5460) = 7441980

Properties of LCM 5452 and 5460

(i) The LCM of 5460 and 5452 is associative

LCM of 5452 and 5460 = LCM of 5460 and 5452

Related Least Common Multiples of 5452

Related Least Common Multiples of 5460

Frequently Asked Questions on LCM of 5452 and 5460

1. What is the LCM of 5452 and 5460?

Answer: LCM of 5452 and 5460 is 7441980.

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 5460?

Answer: Factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460. There are 48 integers that are factors of 5460. The greatest factor of 5460 is 5460.

4. How to Find the LCM of 5452 and 5460?

Answer:

Least Common Multiple of 5452 and 5460 = 7441980

Step 1: Find the prime factorization of 5452

5452 = 2 x 2 x 29 x 47

Step 2: Find the prime factorization of 5460

5460 = 2 x 2 x 3 x 5 x 7 x 13

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

LCM = 7441980 = 2 x 2 x 3 x 5 x 7 x 13 x 29 x 47

Step 4: Therefore, the least common multiple of 5452 and 5460 is 7441980.