Least Common Multiple of 7687 and 7691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7687 and 7691 the smallest integer that is 59120717 that is divisible by both numbers.

Least Common Multiple (LCM) of 7687 and 7691 is 59120717.

LCM(7687,7691) = 59120717

LCM of 7687 and 7691

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

LCM of:
and

Least Common Multiple of 7687 and 7691

LCM of 7687 and 7691 is 59120717

Least common multiple can be found by multiplying the highest exponent prime factors of 7687 and 7691. First we will calculate the prime factors of 7687 and 7691.

Prime Factorization of 7687


7687 7687
1

Prime factors of 7687 are 7687. Prime factorization of 7687 in exponential form is:

7687 = 76871

Prime Factorization of 7691


7691 7691
1

Prime factors of 7691 are 7691. Prime factorization of 7691 in exponential form is:

7691 = 76911

Now multiplying the highest exponent prime factors to calculate the LCM of 7687 and 7691.

LCM(7687,7691) = 76871×76911
LCM(7687,7691) = 59120717

Factors of 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1, 7687

Factors of 7691

List of positive integer factors of 7691 that divides 7691 without a remainder.

1, 7691

Least Common Multiple of 7687 and 7691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7687 and 7691, than apply into the LCM equation.

GCF(7687,7691) = 1
LCM(7687,7691) = ( 7687 × 7691) / 1
LCM(7687,7691) = 59120717 / 1
LCM(7687,7691) = 59120717

Properties of LCM 7687 and 7691

(i) The LCM of 7691 and 7687 is associative

LCM of 7687 and 7691 = LCM of 7691 and 7687

Related Least Common Multiples of 7687

Related Least Common Multiples of 7691

Frequently Asked Questions on LCM of 7687 and 7691

1. What is the LCM of 7687 and 7691?

Answer: LCM of 7687 and 7691 is 59120717.

2. What are the Factors of 7687?

Answer: Factors of 7687 are 1, 7687. There are 2 integers that are factors of 7687. The greatest factor of 7687 is 7687.

3. What are the Factors of 7691?

Answer: Factors of 7691 are 1, 7691. There are 2 integers that are factors of 7691. The greatest factor of 7691 is 7691.

4. How to Find the LCM of 7687 and 7691?

Answer:

Least Common Multiple of 7687 and 7691 = 59120717

Step 1: Find the prime factorization of 7687

7687 = 7687

Step 2: Find the prime factorization of 7691

7691 = 7691

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

LCM = 59120717 = 7687 x 7691

Step 4: Therefore, the least common multiple of 7687 and 7691 is 59120717.