Least Common Multiple of 5096 and 5099

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 5099 the smallest integer that is 25984504 that is divisible by both numbers.

Least Common Multiple (LCM) of 5096 and 5099 is 25984504.

LCM(5096,5099) = 25984504

LCM of 5096 and 5099

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

LCM of:
and

Least Common Multiple of 5096 and 5099

LCM of 5096 and 5099 is 25984504

Least common multiple can be found by multiplying the highest exponent prime factors of 5096 and 5099. First we will calculate the prime factors of 5096 and 5099.

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 5099


5099 5099
1

Prime factors of 5099 are 5099. Prime factorization of 5099 in exponential form is:

5099 = 50991

Now multiplying the highest exponent prime factors to calculate the LCM of 5096 and 5099.

LCM(5096,5099) = 23×72×131×50991
LCM(5096,5099) = 25984504

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 5099

List of positive integer factors of 5099 that divides 5099 without a remainder.

1, 5099

Least Common Multiple of 5096 and 5099 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 5099, than apply into the LCM equation.

GCF(5096,5099) = 1
LCM(5096,5099) = ( 5096 × 5099) / 1
LCM(5096,5099) = 25984504 / 1
LCM(5096,5099) = 25984504

Properties of LCM 5096 and 5099

(i) The LCM of 5099 and 5096 is associative

LCM of 5096 and 5099 = LCM of 5099 and 5096

Related Least Common Multiples of 5096

Related Least Common Multiples of 5099

Frequently Asked Questions on LCM of 5096 and 5099

1. What is the LCM of 5096 and 5099?

Answer: LCM of 5096 and 5099 is 25984504.

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 5099?

Answer: Factors of 5099 are 1, 5099. There are 2 integers that are factors of 5099. The greatest factor of 5099 is 5099.

4. How to Find the LCM of 5096 and 5099?

Answer:

Least Common Multiple of 5096 and 5099 = 25984504

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 5099

5099 = 5099

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

LCM = 25984504 = 2 x 2 x 2 x 7 x 7 x 13 x 5099

Step 4: Therefore, the least common multiple of 5096 and 5099 is 25984504.