Least Common Multiple of 5098 and 5103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5098 and 5103 the smallest integer that is 26015094 that is divisible by both numbers.

Least Common Multiple (LCM) of 5098 and 5103 is 26015094.

LCM(5098,5103) = 26015094

LCM of 5098 and 5103

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

LCM of:
and

Least Common Multiple of 5098 and 5103

LCM of 5098 and 5103 is 26015094

Least common multiple can be found by multiplying the highest exponent prime factors of 5098 and 5103. First we will calculate the prime factors of 5098 and 5103.

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

Prime Factorization of 5103


3 5103
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 5103 are 3,7. Prime factorization of 5103 in exponential form is:

5103 = 36×71

Now multiplying the highest exponent prime factors to calculate the LCM of 5098 and 5103.

LCM(5098,5103) = 21×36×71×25491
LCM(5098,5103) = 26015094

Factors of 5098

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

1, 2, 2549, 5098

Factors of 5103

List of positive integer factors of 5103 that divides 5103 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 5103

Least Common Multiple of 5098 and 5103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5098 and 5103, than apply into the LCM equation.

GCF(5098,5103) = 1
LCM(5098,5103) = ( 5098 × 5103) / 1
LCM(5098,5103) = 26015094 / 1
LCM(5098,5103) = 26015094

Properties of LCM 5098 and 5103

(i) The LCM of 5103 and 5098 is associative

LCM of 5098 and 5103 = LCM of 5103 and 5098

Related Least Common Multiples of 5098

Related Least Common Multiples of 5103

Frequently Asked Questions on LCM of 5098 and 5103

1. What is the LCM of 5098 and 5103?

Answer: LCM of 5098 and 5103 is 26015094.

2. 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.

3. What are the Factors of 5103?

Answer: Factors of 5103 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 5103. There are 14 integers that are factors of 5103. The greatest factor of 5103 is 5103.

4. How to Find the LCM of 5098 and 5103?

Answer:

Least Common Multiple of 5098 and 5103 = 26015094

Step 1: Find the prime factorization of 5098

5098 = 2 x 2549

Step 2: Find the prime factorization of 5103

5103 = 3 x 3 x 3 x 3 x 3 x 3 x 7

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

LCM = 26015094 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 2549

Step 4: Therefore, the least common multiple of 5098 and 5103 is 26015094.