Least Common Multiple of 5091 and 5097

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 5097 the smallest integer that is 8649609 that is divisible by both numbers.

Least Common Multiple (LCM) of 5091 and 5097 is 8649609.

LCM(5091,5097) = 8649609

LCM of 5091 and 5097

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

LCM of:
and

Least Common Multiple of 5091 and 5097

LCM of 5091 and 5097 is 8649609

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5097. First we will calculate the prime factors of 5091 and 5097.

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 5097


3 5097
1699 1699
1

Prime factors of 5097 are 3,1699. Prime factorization of 5097 in exponential form is:

5097 = 31×16991

Now multiplying the highest exponent prime factors to calculate the LCM of 5091 and 5097.

LCM(5091,5097) = 31×16971×16991
LCM(5091,5097) = 8649609

Factors of 5091

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

1, 3, 1697, 5091

Factors of 5097

List of positive integer factors of 5097 that divides 5097 without a remainder.

1, 3, 1699, 5097

Least Common Multiple of 5091 and 5097 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 5097, than apply into the LCM equation.

GCF(5091,5097) = 3
LCM(5091,5097) = ( 5091 × 5097) / 3
LCM(5091,5097) = 25948827 / 3
LCM(5091,5097) = 8649609

Properties of LCM 5091 and 5097

(i) The LCM of 5097 and 5091 is associative

LCM of 5091 and 5097 = LCM of 5097 and 5091

Related Least Common Multiples of 5091

Related Least Common Multiples of 5097

Frequently Asked Questions on LCM of 5091 and 5097

1. What is the LCM of 5091 and 5097?

Answer: LCM of 5091 and 5097 is 8649609.

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 5097?

Answer: Factors of 5097 are 1, 3, 1699, 5097. There are 4 integers that are factors of 5097. The greatest factor of 5097 is 5097.

4. How to Find the LCM of 5091 and 5097?

Answer:

Least Common Multiple of 5091 and 5097 = 8649609

Step 1: Find the prime factorization of 5091

5091 = 3 x 1697

Step 2: Find the prime factorization of 5097

5097 = 3 x 1699

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

LCM = 8649609 = 3 x 1697 x 1699

Step 4: Therefore, the least common multiple of 5091 and 5097 is 8649609.