Least Common Multiple of 2691 and 2693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2691 and 2693 the smallest integer that is 7246863 that is divisible by both numbers.

Least Common Multiple (LCM) of 2691 and 2693 is 7246863.

LCM(2691,2693) = 7246863

LCM of 2691 and 2693

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

LCM of:
and

Least Common Multiple of 2691 and 2693

LCM of 2691 and 2693 is 7246863

Least common multiple can be found by multiplying the highest exponent prime factors of 2691 and 2693. First we will calculate the prime factors of 2691 and 2693.

Prime Factorization of 2691


3 2691
3 897
13 299
23 23
1

Prime factors of 2691 are 3, 13,23. Prime factorization of 2691 in exponential form is:

2691 = 32×131×231

Prime Factorization of 2693


2693 2693
1

Prime factors of 2693 are 2693. Prime factorization of 2693 in exponential form is:

2693 = 26931

Now multiplying the highest exponent prime factors to calculate the LCM of 2691 and 2693.

LCM(2691,2693) = 32×131×231×26931
LCM(2691,2693) = 7246863

Factors of 2691

List of positive integer factors of 2691 that divides 2691 without a remainder.

1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691

Factors of 2693

List of positive integer factors of 2693 that divides 2693 without a remainder.

1, 2693

Least Common Multiple of 2691 and 2693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2691 and 2693, than apply into the LCM equation.

GCF(2691,2693) = 1
LCM(2691,2693) = ( 2691 × 2693) / 1
LCM(2691,2693) = 7246863 / 1
LCM(2691,2693) = 7246863

Properties of LCM 2691 and 2693

(i) The LCM of 2693 and 2691 is associative

LCM of 2691 and 2693 = LCM of 2693 and 2691

Related Least Common Multiples of 2691

Related Least Common Multiples of 2693

Frequently Asked Questions on LCM of 2691 and 2693

1. What is the LCM of 2691 and 2693?

Answer: LCM of 2691 and 2693 is 7246863.

2. What are the Factors of 2691?

Answer: Factors of 2691 are 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691. There are 12 integers that are factors of 2691. The greatest factor of 2691 is 2691.

3. What are the Factors of 2693?

Answer: Factors of 2693 are 1, 2693. There are 2 integers that are factors of 2693. The greatest factor of 2693 is 2693.

4. How to Find the LCM of 2691 and 2693?

Answer:

Least Common Multiple of 2691 and 2693 = 7246863

Step 1: Find the prime factorization of 2691

2691 = 3 x 3 x 13 x 23

Step 2: Find the prime factorization of 2693

2693 = 2693

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

LCM = 7246863 = 3 x 3 x 13 x 23 x 2693

Step 4: Therefore, the least common multiple of 2691 and 2693 is 7246863.