Least Common Multiple of 5494 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 5494 and 5500 the smallest integer that is 15108500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5494 and 5500 is 15108500.

LCM(5494,5500) = 15108500

LCM of 5494 and 5500

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

LCM of:
and

Least Common Multiple of 5494 and 5500

LCM of 5494 and 5500 is 15108500

Least common multiple can be found by multiplying the highest exponent prime factors of 5494 and 5500. First we will calculate the prime factors of 5494 and 5500.

Prime Factorization of 5494


2 5494
41 2747
67 67
1

Prime factors of 5494 are 2, 41,67. Prime factorization of 5494 in exponential form is:

5494 = 21×411×671

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 5494 and 5500.

LCM(5494,5500) = 22×53×111×411×671
LCM(5494,5500) = 15108500

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1, 2, 41, 67, 82, 134, 2747, 5494

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 5494 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 5494 and 5500, than apply into the LCM equation.

GCF(5494,5500) = 2
LCM(5494,5500) = ( 5494 × 5500) / 2
LCM(5494,5500) = 30217000 / 2
LCM(5494,5500) = 15108500

Properties of LCM 5494 and 5500

(i) The LCM of 5500 and 5494 is associative

LCM of 5494 and 5500 = LCM of 5500 and 5494

Related Least Common Multiples of 5494

Related Least Common Multiples of 5500

Frequently Asked Questions on LCM of 5494 and 5500

1. What is the LCM of 5494 and 5500?

Answer: LCM of 5494 and 5500 is 15108500.

2. What are the Factors of 5494?

Answer: Factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494. There are 8 integers that are factors of 5494. The greatest factor of 5494 is 5494.

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 5494 and 5500?

Answer:

Least Common Multiple of 5494 and 5500 = 15108500

Step 1: Find the prime factorization of 5494

5494 = 2 x 41 x 67

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 = 15108500 = 2 x 2 x 5 x 5 x 5 x 11 x 41 x 67

Step 4: Therefore, the least common multiple of 5494 and 5500 is 15108500.