Least Common Multiple of 8911 and 8918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8911 and 8918 the smallest integer that is 11352614 that is divisible by both numbers.

Least Common Multiple (LCM) of 8911 and 8918 is 11352614.

LCM(8911,8918) = 11352614

LCM of 8911 and 8918

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

LCM of:
and

Least Common Multiple of 8911 and 8918

LCM of 8911 and 8918 is 11352614

Least common multiple can be found by multiplying the highest exponent prime factors of 8911 and 8918. First we will calculate the prime factors of 8911 and 8918.

Prime Factorization of 8911


7 8911
19 1273
67 67
1

Prime factors of 8911 are 7, 19,67. Prime factorization of 8911 in exponential form is:

8911 = 71×191×671

Prime Factorization of 8918


2 8918
7 4459
7 637
7 91
13 13
1

Prime factors of 8918 are 2, 7,13. Prime factorization of 8918 in exponential form is:

8918 = 21×73×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8911 and 8918.

LCM(8911,8918) = 21×73×131×191×671
LCM(8911,8918) = 11352614

Factors of 8911

List of positive integer factors of 8911 that divides 8911 without a remainder.

1, 7, 19, 67, 133, 469, 1273, 8911

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918

Least Common Multiple of 8911 and 8918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8911 and 8918, than apply into the LCM equation.

GCF(8911,8918) = 7
LCM(8911,8918) = ( 8911 × 8918) / 7
LCM(8911,8918) = 79468298 / 7
LCM(8911,8918) = 11352614

Properties of LCM 8911 and 8918

(i) The LCM of 8918 and 8911 is associative

LCM of 8911 and 8918 = LCM of 8918 and 8911

Related Least Common Multiples of 8911

Related Least Common Multiples of 8918

Frequently Asked Questions on LCM of 8911 and 8918

1. What is the LCM of 8911 and 8918?

Answer: LCM of 8911 and 8918 is 11352614.

2. What are the Factors of 8911?

Answer: Factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911. There are 8 integers that are factors of 8911. The greatest factor of 8911 is 8911.

3. What are the Factors of 8918?

Answer: Factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918. There are 16 integers that are factors of 8918. The greatest factor of 8918 is 8918.

4. How to Find the LCM of 8911 and 8918?

Answer:

Least Common Multiple of 8911 and 8918 = 11352614

Step 1: Find the prime factorization of 8911

8911 = 7 x 19 x 67

Step 2: Find the prime factorization of 8918

8918 = 2 x 7 x 7 x 7 x 13

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

LCM = 11352614 = 2 x 7 x 7 x 7 x 13 x 19 x 67

Step 4: Therefore, the least common multiple of 8911 and 8918 is 11352614.