Least Common Multiple of 911 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 911 and 918 the smallest integer that is 836298 that is divisible by both numbers.

Least Common Multiple (LCM) of 911 and 918 is 836298.

LCM(911,918) = 836298

LCM of 911 and 918

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

LCM of:
and

Least Common Multiple of 911 and 918

LCM of 911 and 918 is 836298

Least common multiple can be found by multiplying the highest exponent prime factors of 911 and 918. First we will calculate the prime factors of 911 and 918.

Prime Factorization of 911


911 911
1

Prime factors of 911 are 911. Prime factorization of 911 in exponential form is:

911 = 9111

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 911 and 918.

LCM(911,918) = 21×33×171×9111
LCM(911,918) = 836298

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1, 911

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 911 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 911 and 918, than apply into the LCM equation.

GCF(911,918) = 1
LCM(911,918) = ( 911 × 918) / 1
LCM(911,918) = 836298 / 1
LCM(911,918) = 836298

Properties of LCM 911 and 918

(i) The LCM of 918 and 911 is associative

LCM of 911 and 918 = LCM of 918 and 911

Related Least Common Multiples of 911

Related Least Common Multiples of 918

Frequently Asked Questions on LCM of 911 and 918

1. What is the LCM of 911 and 918?

Answer: LCM of 911 and 918 is 836298.

2. What are the Factors of 911?

Answer: Factors of 911 are 1, 911. There are 2 integers that are factors of 911. The greatest factor of 911 is 911.

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 911 and 918?

Answer:

Least Common Multiple of 911 and 918 = 836298

Step 1: Find the prime factorization of 911

911 = 911

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 = 836298 = 2 x 3 x 3 x 3 x 17 x 911

Step 4: Therefore, the least common multiple of 911 and 918 is 836298.