Least Common Multiple of 915 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 915 and 918 the smallest integer that is 279990 that is divisible by both numbers.

Least Common Multiple (LCM) of 915 and 918 is 279990.

LCM(915,918) = 279990

LCM of 915 and 918

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

LCM of:
and

Least Common Multiple of 915 and 918

LCM of 915 and 918 is 279990

Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 918. First we will calculate the prime factors of 915 and 918.

Prime Factorization of 915


3 915
5 305
61 61
1

Prime factors of 915 are 3, 5,61. Prime factorization of 915 in exponential form is:

915 = 31×51×611

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 915 and 918.

LCM(915,918) = 21×33×51×171×611
LCM(915,918) = 279990

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

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 915 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 915 and 918, than apply into the LCM equation.

GCF(915,918) = 3
LCM(915,918) = ( 915 × 918) / 3
LCM(915,918) = 839970 / 3
LCM(915,918) = 279990

Properties of LCM 915 and 918

(i) The LCM of 918 and 915 is associative

LCM of 915 and 918 = LCM of 918 and 915

Related Least Common Multiples of 915

Related Least Common Multiples of 918

Frequently Asked Questions on LCM of 915 and 918

1. What is the LCM of 915 and 918?

Answer: LCM of 915 and 918 is 279990.

2. What are the Factors of 915?

Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.

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 915 and 918?

Answer:

Least Common Multiple of 915 and 918 = 279990

Step 1: Find the prime factorization of 915

915 = 3 x 5 x 61

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 = 279990 = 2 x 3 x 3 x 3 x 5 x 17 x 61

Step 4: Therefore, the least common multiple of 915 and 918 is 279990.