Least Common Multiple of 5492 and 5500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5492 and 5500 the smallest integer that is 7551500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5492 and 5500 is 7551500.

LCM(5492,5500) = 7551500

LCM of 5492 and 5500

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

LCM of:
and

Least Common Multiple of 5492 and 5500

LCM of 5492 and 5500 is 7551500

Least common multiple can be found by multiplying the highest exponent prime factors of 5492 and 5500. First we will calculate the prime factors of 5492 and 5500.

Prime Factorization of 5492


2 5492
2 2746
1373 1373
1

Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:

5492 = 22×13731

Prime Factorization of 5500


2 5500
2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 5500 are 2, 5,11. Prime factorization of 5500 in exponential form is:

5500 = 22×53×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5492 and 5500.

LCM(5492,5500) = 22×53×111×13731
LCM(5492,5500) = 7551500

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1, 2, 4, 1373, 2746, 5492

Factors of 5500

List of positive integer factors of 5500 that divides 5500 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500

Least Common Multiple of 5492 and 5500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5492 and 5500, than apply into the LCM equation.

GCF(5492,5500) = 4
LCM(5492,5500) = ( 5492 × 5500) / 4
LCM(5492,5500) = 30206000 / 4
LCM(5492,5500) = 7551500

Properties of LCM 5492 and 5500

(i) The LCM of 5500 and 5492 is associative

LCM of 5492 and 5500 = LCM of 5500 and 5492

Related Least Common Multiples of 5492

Related Least Common Multiples of 5500

Frequently Asked Questions on LCM of 5492 and 5500

1. What is the LCM of 5492 and 5500?

Answer: LCM of 5492 and 5500 is 7551500.

2. What are the Factors of 5492?

Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.

3. What are the Factors of 5500?

Answer: Factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500. There are 24 integers that are factors of 5500. The greatest factor of 5500 is 5500.

4. How to Find the LCM of 5492 and 5500?

Answer:

Least Common Multiple of 5492 and 5500 = 7551500

Step 1: Find the prime factorization of 5492

5492 = 2 x 2 x 1373

Step 2: Find the prime factorization of 5500

5500 = 2 x 2 x 5 x 5 x 5 x 11

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

LCM = 7551500 = 2 x 2 x 5 x 5 x 5 x 11 x 1373

Step 4: Therefore, the least common multiple of 5492 and 5500 is 7551500.