Least Common Multiple of 8918 and 8926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8918 and 8926 the smallest integer that is 39801034 that is divisible by both numbers.

Least Common Multiple (LCM) of 8918 and 8926 is 39801034.

LCM(8918,8926) = 39801034

LCM of 8918 and 8926

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

LCM of:
and

Least Common Multiple of 8918 and 8926

LCM of 8918 and 8926 is 39801034

Least common multiple can be found by multiplying the highest exponent prime factors of 8918 and 8926. First we will calculate the prime factors of 8918 and 8926.

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

Prime Factorization of 8926


2 8926
4463 4463
1

Prime factors of 8926 are 2,4463. Prime factorization of 8926 in exponential form is:

8926 = 21×44631

Now multiplying the highest exponent prime factors to calculate the LCM of 8918 and 8926.

LCM(8918,8926) = 21×73×131×44631
LCM(8918,8926) = 39801034

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

Factors of 8926

List of positive integer factors of 8926 that divides 8926 without a remainder.

1, 2, 4463, 8926

Least Common Multiple of 8918 and 8926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8918 and 8926, than apply into the LCM equation.

GCF(8918,8926) = 2
LCM(8918,8926) = ( 8918 × 8926) / 2
LCM(8918,8926) = 79602068 / 2
LCM(8918,8926) = 39801034

Properties of LCM 8918 and 8926

(i) The LCM of 8926 and 8918 is associative

LCM of 8918 and 8926 = LCM of 8926 and 8918

Related Least Common Multiples of 8918

Related Least Common Multiples of 8926

Frequently Asked Questions on LCM of 8918 and 8926

1. What is the LCM of 8918 and 8926?

Answer: LCM of 8918 and 8926 is 39801034.

2. 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.

3. What are the Factors of 8926?

Answer: Factors of 8926 are 1, 2, 4463, 8926. There are 4 integers that are factors of 8926. The greatest factor of 8926 is 8926.

4. How to Find the LCM of 8918 and 8926?

Answer:

Least Common Multiple of 8918 and 8926 = 39801034

Step 1: Find the prime factorization of 8918

8918 = 2 x 7 x 7 x 7 x 13

Step 2: Find the prime factorization of 8926

8926 = 2 x 4463

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

LCM = 39801034 = 2 x 7 x 7 x 7 x 13 x 4463

Step 4: Therefore, the least common multiple of 8918 and 8926 is 39801034.