Least Common Multiple of 5691 and 5697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5691 and 5697 the smallest integer that is 10807209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5691 and 5697 is 10807209.

LCM(5691,5697) = 10807209

LCM of 5691 and 5697

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

LCM of:
and

Least Common Multiple of 5691 and 5697

LCM of 5691 and 5697 is 10807209

Least common multiple can be found by multiplying the highest exponent prime factors of 5691 and 5697. First we will calculate the prime factors of 5691 and 5697.

Prime Factorization of 5691


3 5691
7 1897
271 271
1

Prime factors of 5691 are 3, 7,271. Prime factorization of 5691 in exponential form is:

5691 = 31×71×2711

Prime Factorization of 5697


3 5697
3 1899
3 633
211 211
1

Prime factors of 5697 are 3,211. Prime factorization of 5697 in exponential form is:

5697 = 33×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5691 and 5697.

LCM(5691,5697) = 33×71×2111×2711
LCM(5691,5697) = 10807209

Factors of 5691

List of positive integer factors of 5691 that divides 5691 without a remainder.

1, 3, 7, 21, 271, 813, 1897, 5691

Factors of 5697

List of positive integer factors of 5697 that divides 5697 without a remainder.

1, 3, 9, 27, 211, 633, 1899, 5697

Least Common Multiple of 5691 and 5697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5691 and 5697, than apply into the LCM equation.

GCF(5691,5697) = 3
LCM(5691,5697) = ( 5691 × 5697) / 3
LCM(5691,5697) = 32421627 / 3
LCM(5691,5697) = 10807209

Properties of LCM 5691 and 5697

(i) The LCM of 5697 and 5691 is associative

LCM of 5691 and 5697 = LCM of 5697 and 5691

Related Least Common Multiples of 5691

Related Least Common Multiples of 5697

Frequently Asked Questions on LCM of 5691 and 5697

1. What is the LCM of 5691 and 5697?

Answer: LCM of 5691 and 5697 is 10807209.

2. What are the Factors of 5691?

Answer: Factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691. There are 8 integers that are factors of 5691. The greatest factor of 5691 is 5691.

3. What are the Factors of 5697?

Answer: Factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697. There are 8 integers that are factors of 5697. The greatest factor of 5697 is 5697.

4. How to Find the LCM of 5691 and 5697?

Answer:

Least Common Multiple of 5691 and 5697 = 10807209

Step 1: Find the prime factorization of 5691

5691 = 3 x 7 x 271

Step 2: Find the prime factorization of 5697

5697 = 3 x 3 x 3 x 211

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

LCM = 10807209 = 3 x 3 x 3 x 7 x 211 x 271

Step 4: Therefore, the least common multiple of 5691 and 5697 is 10807209.