Least Common Multiple of 7911 and 7917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7911 and 7917 the smallest integer that is 20877129 that is divisible by both numbers.

Least Common Multiple (LCM) of 7911 and 7917 is 20877129.

LCM(7911,7917) = 20877129

LCM of 7911 and 7917

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

LCM of:
and

Least Common Multiple of 7911 and 7917

LCM of 7911 and 7917 is 20877129

Least common multiple can be found by multiplying the highest exponent prime factors of 7911 and 7917. First we will calculate the prime factors of 7911 and 7917.

Prime Factorization of 7911


3 7911
3 2637
3 879
293 293
1

Prime factors of 7911 are 3,293. Prime factorization of 7911 in exponential form is:

7911 = 33×2931

Prime Factorization of 7917


3 7917
7 2639
13 377
29 29
1

Prime factors of 7917 are 3, 7, 13,29. Prime factorization of 7917 in exponential form is:

7917 = 31×71×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7911 and 7917.

LCM(7911,7917) = 33×71×131×291×2931
LCM(7911,7917) = 20877129

Factors of 7911

List of positive integer factors of 7911 that divides 7911 without a remainder.

1, 3, 9, 27, 293, 879, 2637, 7911

Factors of 7917

List of positive integer factors of 7917 that divides 7917 without a remainder.

1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639, 7917

Least Common Multiple of 7911 and 7917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7911 and 7917, than apply into the LCM equation.

GCF(7911,7917) = 3
LCM(7911,7917) = ( 7911 × 7917) / 3
LCM(7911,7917) = 62631387 / 3
LCM(7911,7917) = 20877129

Properties of LCM 7911 and 7917

(i) The LCM of 7917 and 7911 is associative

LCM of 7911 and 7917 = LCM of 7917 and 7911

Related Least Common Multiples of 7911

Related Least Common Multiples of 7917

Frequently Asked Questions on LCM of 7911 and 7917

1. What is the LCM of 7911 and 7917?

Answer: LCM of 7911 and 7917 is 20877129.

2. What are the Factors of 7911?

Answer: Factors of 7911 are 1, 3, 9, 27, 293, 879, 2637, 7911. There are 8 integers that are factors of 7911. The greatest factor of 7911 is 7911.

3. What are the Factors of 7917?

Answer: Factors of 7917 are 1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639, 7917. There are 16 integers that are factors of 7917. The greatest factor of 7917 is 7917.

4. How to Find the LCM of 7911 and 7917?

Answer:

Least Common Multiple of 7911 and 7917 = 20877129

Step 1: Find the prime factorization of 7911

7911 = 3 x 3 x 3 x 293

Step 2: Find the prime factorization of 7917

7917 = 3 x 7 x 13 x 29

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

LCM = 20877129 = 3 x 3 x 3 x 7 x 13 x 29 x 293

Step 4: Therefore, the least common multiple of 7911 and 7917 is 20877129.