Least Common Multiple of 5096 and 5098

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 5098 the smallest integer that is 12989704 that is divisible by both numbers.

Least Common Multiple (LCM) of 5096 and 5098 is 12989704.

LCM(5096,5098) = 12989704

LCM of 5096 and 5098

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

LCM of:
and

Least Common Multiple of 5096 and 5098

LCM of 5096 and 5098 is 12989704

Least common multiple can be found by multiplying the highest exponent prime factors of 5096 and 5098. First we will calculate the prime factors of 5096 and 5098.

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 5098


2 5098
2549 2549
1

Prime factors of 5098 are 2,2549. Prime factorization of 5098 in exponential form is:

5098 = 21×25491

Now multiplying the highest exponent prime factors to calculate the LCM of 5096 and 5098.

LCM(5096,5098) = 23×72×131×25491
LCM(5096,5098) = 12989704

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 5098

List of positive integer factors of 5098 that divides 5098 without a remainder.

1, 2, 2549, 5098

Least Common Multiple of 5096 and 5098 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 5098, than apply into the LCM equation.

GCF(5096,5098) = 2
LCM(5096,5098) = ( 5096 × 5098) / 2
LCM(5096,5098) = 25979408 / 2
LCM(5096,5098) = 12989704

Properties of LCM 5096 and 5098

(i) The LCM of 5098 and 5096 is associative

LCM of 5096 and 5098 = LCM of 5098 and 5096

Related Least Common Multiples of 5096

Related Least Common Multiples of 5098

Frequently Asked Questions on LCM of 5096 and 5098

1. What is the LCM of 5096 and 5098?

Answer: LCM of 5096 and 5098 is 12989704.

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 5098?

Answer: Factors of 5098 are 1, 2, 2549, 5098. There are 4 integers that are factors of 5098. The greatest factor of 5098 is 5098.

4. How to Find the LCM of 5096 and 5098?

Answer:

Least Common Multiple of 5096 and 5098 = 12989704

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 5098

5098 = 2 x 2549

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

LCM = 12989704 = 2 x 2 x 2 x 7 x 7 x 13 x 2549

Step 4: Therefore, the least common multiple of 5096 and 5098 is 12989704.