Least Common Multiple of 5091 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 5091 and 5099 the smallest integer that is 25959009 that is divisible by both numbers.

Least Common Multiple (LCM) of 5091 and 5099 is 25959009.

LCM(5091,5099) = 25959009

LCM of 5091 and 5099

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

LCM of:
and

Least Common Multiple of 5091 and 5099

LCM of 5091 and 5099 is 25959009

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5099. First we will calculate the prime factors of 5091 and 5099.

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 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 5091 and 5099.

LCM(5091,5099) = 31×16971×50991
LCM(5091,5099) = 25959009

Factors of 5091

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

1, 3, 1697, 5091

Factors of 5099

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

1, 5099

Least Common Multiple of 5091 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 5091 and 5099, than apply into the LCM equation.

GCF(5091,5099) = 1
LCM(5091,5099) = ( 5091 × 5099) / 1
LCM(5091,5099) = 25959009 / 1
LCM(5091,5099) = 25959009

Properties of LCM 5091 and 5099

(i) The LCM of 5099 and 5091 is associative

LCM of 5091 and 5099 = LCM of 5099 and 5091

Related Least Common Multiples of 5091

Related Least Common Multiples of 5099

Frequently Asked Questions on LCM of 5091 and 5099

1. What is the LCM of 5091 and 5099?

Answer: LCM of 5091 and 5099 is 25959009.

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 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 5091 and 5099?

Answer:

Least Common Multiple of 5091 and 5099 = 25959009

Step 1: Find the prime factorization of 5091

5091 = 3 x 1697

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 = 25959009 = 3 x 1697 x 5099

Step 4: Therefore, the least common multiple of 5091 and 5099 is 25959009.