Least Common Multiple of 5091 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 5091 and 5098 the smallest integer that is 25953918 that is divisible by both numbers.

Least Common Multiple (LCM) of 5091 and 5098 is 25953918.

LCM(5091,5098) = 25953918

LCM of 5091 and 5098

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

LCM of:
and

Least Common Multiple of 5091 and 5098

LCM of 5091 and 5098 is 25953918

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5098. First we will calculate the prime factors of 5091 and 5098.

Prime Factorization of 5091


3 5091
1697 1697
1

Prime factors of 5091 are 3,1697. Prime factorization of 5091 in exponential form is:

5091 = 31×16971

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 5091 and 5098.

LCM(5091,5098) = 21×31×16971×25491
LCM(5091,5098) = 25953918

Factors of 5091

List of positive integer factors of 5091 that divides 5091 without a remainder.

1, 3, 1697, 5091

Factors of 5098

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

1, 2, 2549, 5098

Least Common Multiple of 5091 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 5091 and 5098, than apply into the LCM equation.

GCF(5091,5098) = 1
LCM(5091,5098) = ( 5091 × 5098) / 1
LCM(5091,5098) = 25953918 / 1
LCM(5091,5098) = 25953918

Properties of LCM 5091 and 5098

(i) The LCM of 5098 and 5091 is associative

LCM of 5091 and 5098 = LCM of 5098 and 5091

Related Least Common Multiples of 5091

Related Least Common Multiples of 5098

Frequently Asked Questions on LCM of 5091 and 5098

1. What is the LCM of 5091 and 5098?

Answer: LCM of 5091 and 5098 is 25953918.

2. What are the Factors of 5091?

Answer: Factors of 5091 are 1, 3, 1697, 5091. There are 4 integers that are factors of 5091. The greatest factor of 5091 is 5091.

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 5091 and 5098?

Answer:

Least Common Multiple of 5091 and 5098 = 25953918

Step 1: Find the prime factorization of 5091

5091 = 3 x 1697

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 = 25953918 = 2 x 3 x 1697 x 2549

Step 4: Therefore, the least common multiple of 5091 and 5098 is 25953918.