Least Common Multiple of 5096 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 5096 and 5100 the smallest integer that is 6497400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5096 and 5100 is 6497400.

LCM(5096,5100) = 6497400

LCM of 5096 and 5100

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

LCM of:
and

Least Common Multiple of 5096 and 5100

LCM of 5096 and 5100 is 6497400

Least common multiple can be found by multiplying the highest exponent prime factors of 5096 and 5100. First we will calculate the prime factors of 5096 and 5100.

Prime Factorization of 5096


2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 5096 are 2, 7,13. Prime factorization of 5096 in exponential form is:

5096 = 23×72×131

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 5096 and 5100.

LCM(5096,5100) = 23×31×52×72×131×171
LCM(5096,5100) = 6497400

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096

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 5096 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 5096 and 5100, than apply into the LCM equation.

GCF(5096,5100) = 4
LCM(5096,5100) = ( 5096 × 5100) / 4
LCM(5096,5100) = 25989600 / 4
LCM(5096,5100) = 6497400

Properties of LCM 5096 and 5100

(i) The LCM of 5100 and 5096 is associative

LCM of 5096 and 5100 = LCM of 5100 and 5096

Related Least Common Multiples of 5096

Related Least Common Multiples of 5100

Frequently Asked Questions on LCM of 5096 and 5100

1. What is the LCM of 5096 and 5100?

Answer: LCM of 5096 and 5100 is 6497400.

2. What are the Factors of 5096?

Answer: Factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096. There are 24 integers that are factors of 5096. The greatest factor of 5096 is 5096.

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 5096 and 5100?

Answer:

Least Common Multiple of 5096 and 5100 = 6497400

Step 1: Find the prime factorization of 5096

5096 = 2 x 2 x 2 x 7 x 7 x 13

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 = 6497400 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 5096 and 5100 is 6497400.