Least Common Multiple of 5325 and 5332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5325 and 5332 the smallest integer that is 28392900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5325 and 5332 is 28392900.

LCM(5325,5332) = 28392900

LCM of 5325 and 5332

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

LCM of:
and

Least Common Multiple of 5325 and 5332

LCM of 5325 and 5332 is 28392900

Least common multiple can be found by multiplying the highest exponent prime factors of 5325 and 5332. First we will calculate the prime factors of 5325 and 5332.

Prime Factorization of 5325


3 5325
5 1775
5 355
71 71
1

Prime factors of 5325 are 3, 5,71. Prime factorization of 5325 in exponential form is:

5325 = 31×52×711

Prime Factorization of 5332


2 5332
2 2666
31 1333
43 43
1

Prime factors of 5332 are 2, 31,43. Prime factorization of 5332 in exponential form is:

5332 = 22×311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5325 and 5332.

LCM(5325,5332) = 22×31×52×311×431×711
LCM(5325,5332) = 28392900

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325

Factors of 5332

List of positive integer factors of 5332 that divides 5332 without a remainder.

1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332

Least Common Multiple of 5325 and 5332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5325 and 5332, than apply into the LCM equation.

GCF(5325,5332) = 1
LCM(5325,5332) = ( 5325 × 5332) / 1
LCM(5325,5332) = 28392900 / 1
LCM(5325,5332) = 28392900

Properties of LCM 5325 and 5332

(i) The LCM of 5332 and 5325 is associative

LCM of 5325 and 5332 = LCM of 5332 and 5325

Related Least Common Multiples of 5325

Related Least Common Multiples of 5332

Frequently Asked Questions on LCM of 5325 and 5332

1. What is the LCM of 5325 and 5332?

Answer: LCM of 5325 and 5332 is 28392900.

2. What are the Factors of 5325?

Answer: Factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325. There are 12 integers that are factors of 5325. The greatest factor of 5325 is 5325.

3. What are the Factors of 5332?

Answer: Factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332. There are 12 integers that are factors of 5332. The greatest factor of 5332 is 5332.

4. How to Find the LCM of 5325 and 5332?

Answer:

Least Common Multiple of 5325 and 5332 = 28392900

Step 1: Find the prime factorization of 5325

5325 = 3 x 5 x 5 x 71

Step 2: Find the prime factorization of 5332

5332 = 2 x 2 x 31 x 43

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

LCM = 28392900 = 2 x 2 x 3 x 5 x 5 x 31 x 43 x 71

Step 4: Therefore, the least common multiple of 5325 and 5332 is 28392900.