Least Common Multiple of 913 and 918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 913 and 918 the smallest integer that is 838134 that is divisible by both numbers.

Least Common Multiple (LCM) of 913 and 918 is 838134.

LCM(913,918) = 838134

LCM of 913 and 918

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

LCM of:
and

Least Common Multiple of 913 and 918

LCM of 913 and 918 is 838134

Least common multiple can be found by multiplying the highest exponent prime factors of 913 and 918. First we will calculate the prime factors of 913 and 918.

Prime Factorization of 913


11 913
83 83
1

Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:

913 = 111×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 913 and 918.

LCM(913,918) = 21×33×111×171×831
LCM(913,918) = 838134

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1, 11, 83, 913

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

Least Common Multiple of 913 and 918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 913 and 918, than apply into the LCM equation.

GCF(913,918) = 1
LCM(913,918) = ( 913 × 918) / 1
LCM(913,918) = 838134 / 1
LCM(913,918) = 838134

Properties of LCM 913 and 918

(i) The LCM of 918 and 913 is associative

LCM of 913 and 918 = LCM of 918 and 913

Related Least Common Multiples of 913

Related Least Common Multiples of 918

Frequently Asked Questions on LCM of 913 and 918

1. What is the LCM of 913 and 918?

Answer: LCM of 913 and 918 is 838134.

2. What are the Factors of 913?

Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.

3. 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.

4. How to Find the LCM of 913 and 918?

Answer:

Least Common Multiple of 913 and 918 = 838134

Step 1: Find the prime factorization of 913

913 = 11 x 83

Step 2: Find the prime factorization of 918

918 = 2 x 3 x 3 x 3 x 17

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

LCM = 838134 = 2 x 3 x 3 x 3 x 11 x 17 x 83

Step 4: Therefore, the least common multiple of 913 and 918 is 838134.