Least Common Multiple of 918 and 926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 918 and 926 the smallest integer that is 425034 that is divisible by both numbers.

Least Common Multiple (LCM) of 918 and 926 is 425034.

LCM(918,926) = 425034

LCM of 918 and 926

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

LCM of:
and

Least Common Multiple of 918 and 926

LCM of 918 and 926 is 425034

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 926. First we will calculate the prime factors of 918 and 926.

Prime Factorization of 918


2 918
3 459
3 153
3 51
17 17
1

Prime factors of 918 are 2, 3,17. Prime factorization of 918 in exponential form is:

918 = 21×33×171

Prime Factorization of 926


2 926
463 463
1

Prime factors of 926 are 2,463. Prime factorization of 926 in exponential form is:

926 = 21×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 918 and 926.

LCM(918,926) = 21×33×171×4631
LCM(918,926) = 425034

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Least Common Multiple of 918 and 926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 918 and 926, than apply into the LCM equation.

GCF(918,926) = 2
LCM(918,926) = ( 918 × 926) / 2
LCM(918,926) = 850068 / 2
LCM(918,926) = 425034

Properties of LCM 918 and 926

(i) The LCM of 926 and 918 is associative

LCM of 918 and 926 = LCM of 926 and 918

Related Least Common Multiples of 918

Related Least Common Multiples of 926

Frequently Asked Questions on LCM of 918 and 926

1. What is the LCM of 918 and 926?

Answer: LCM of 918 and 926 is 425034.

2. What are the Factors of 918?

Answer: Factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918. There are 16 integers that are factors of 918. The greatest factor of 918 is 918.

3. What are the Factors of 926?

Answer: Factors of 926 are 1, 2, 463, 926. There are 4 integers that are factors of 926. The greatest factor of 926 is 926.

4. How to Find the LCM of 918 and 926?

Answer:

Least Common Multiple of 918 and 926 = 425034

Step 1: Find the prime factorization of 918

918 = 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 926

926 = 2 x 463

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

LCM = 425034 = 2 x 3 x 3 x 3 x 17 x 463

Step 4: Therefore, the least common multiple of 918 and 926 is 425034.