Least Common Multiple of 5445 and 5452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5445 and 5452 the smallest integer that is 29686140 that is divisible by both numbers.

Least Common Multiple (LCM) of 5445 and 5452 is 29686140.

LCM(5445,5452) = 29686140

LCM of 5445 and 5452

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

LCM of:
and

Least Common Multiple of 5445 and 5452

LCM of 5445 and 5452 is 29686140

Least common multiple can be found by multiplying the highest exponent prime factors of 5445 and 5452. First we will calculate the prime factors of 5445 and 5452.

Prime Factorization of 5445


3 5445
3 1815
5 605
11 121
11 11
1

Prime factors of 5445 are 3, 5,11. Prime factorization of 5445 in exponential form is:

5445 = 32×51×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5445 and 5452.

LCM(5445,5452) = 22×32×51×112×291×471
LCM(5445,5452) = 29686140

Factors of 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445

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

Least Common Multiple of 5445 and 5452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5445 and 5452, than apply into the LCM equation.

GCF(5445,5452) = 1
LCM(5445,5452) = ( 5445 × 5452) / 1
LCM(5445,5452) = 29686140 / 1
LCM(5445,5452) = 29686140

Properties of LCM 5445 and 5452

(i) The LCM of 5452 and 5445 is associative

LCM of 5445 and 5452 = LCM of 5452 and 5445

Related Least Common Multiples of 5445

Related Least Common Multiples of 5452

Frequently Asked Questions on LCM of 5445 and 5452

1. What is the LCM of 5445 and 5452?

Answer: LCM of 5445 and 5452 is 29686140.

2. What are the Factors of 5445?

Answer: Factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445. There are 18 integers that are factors of 5445. The greatest factor of 5445 is 5445.

3. 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.

4. How to Find the LCM of 5445 and 5452?

Answer:

Least Common Multiple of 5445 and 5452 = 29686140

Step 1: Find the prime factorization of 5445

5445 = 3 x 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 5452

5452 = 2 x 2 x 29 x 47

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

LCM = 29686140 = 2 x 2 x 3 x 3 x 5 x 11 x 11 x 29 x 47

Step 4: Therefore, the least common multiple of 5445 and 5452 is 29686140.