Least Common Multiple of 5093 and 5100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5093 and 5100 the smallest integer that is 25974300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5093 and 5100 is 25974300.

LCM(5093,5100) = 25974300

LCM of 5093 and 5100

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

LCM of:
and

Least Common Multiple of 5093 and 5100

LCM of 5093 and 5100 is 25974300

Least common multiple can be found by multiplying the highest exponent prime factors of 5093 and 5100. First we will calculate the prime factors of 5093 and 5100.

Prime Factorization of 5093


11 5093
463 463
1

Prime factors of 5093 are 11,463. Prime factorization of 5093 in exponential form is:

5093 = 111×4631

Prime Factorization of 5100


2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 5100 are 2, 3, 5,17. Prime factorization of 5100 in exponential form is:

5100 = 22×31×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5093 and 5100.

LCM(5093,5100) = 22×31×52×111×171×4631
LCM(5093,5100) = 25974300

Factors of 5093

List of positive integer factors of 5093 that divides 5093 without a remainder.

1, 11, 463, 5093

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100

Least Common Multiple of 5093 and 5100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5093 and 5100, than apply into the LCM equation.

GCF(5093,5100) = 1
LCM(5093,5100) = ( 5093 × 5100) / 1
LCM(5093,5100) = 25974300 / 1
LCM(5093,5100) = 25974300

Properties of LCM 5093 and 5100

(i) The LCM of 5100 and 5093 is associative

LCM of 5093 and 5100 = LCM of 5100 and 5093

Related Least Common Multiples of 5093

Related Least Common Multiples of 5100

Frequently Asked Questions on LCM of 5093 and 5100

1. What is the LCM of 5093 and 5100?

Answer: LCM of 5093 and 5100 is 25974300.

2. What are the Factors of 5093?

Answer: Factors of 5093 are 1, 11, 463, 5093. There are 4 integers that are factors of 5093. The greatest factor of 5093 is 5093.

3. What are the Factors of 5100?

Answer: Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. There are 36 integers that are factors of 5100. The greatest factor of 5100 is 5100.

4. How to Find the LCM of 5093 and 5100?

Answer:

Least Common Multiple of 5093 and 5100 = 25974300

Step 1: Find the prime factorization of 5093

5093 = 11 x 463

Step 2: Find the prime factorization of 5100

5100 = 2 x 2 x 3 x 5 x 5 x 17

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

LCM = 25974300 = 2 x 2 x 3 x 5 x 5 x 11 x 17 x 463

Step 4: Therefore, the least common multiple of 5093 and 5100 is 25974300.