Least Common Multiple of 914 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 914 and 918 the smallest integer that is 419526 that is divisible by both numbers.

Least Common Multiple (LCM) of 914 and 918 is 419526.

LCM(914,918) = 419526

LCM of 914 and 918

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

LCM of:
and

Least Common Multiple of 914 and 918

LCM of 914 and 918 is 419526

Least common multiple can be found by multiplying the highest exponent prime factors of 914 and 918. First we will calculate the prime factors of 914 and 918.

Prime Factorization of 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

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 914 and 918.

LCM(914,918) = 21×33×171×4571
LCM(914,918) = 419526

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 914 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 914 and 918, than apply into the LCM equation.

GCF(914,918) = 2
LCM(914,918) = ( 914 × 918) / 2
LCM(914,918) = 839052 / 2
LCM(914,918) = 419526

Properties of LCM 914 and 918

(i) The LCM of 918 and 914 is associative

LCM of 914 and 918 = LCM of 918 and 914

Related Least Common Multiples of 914

Related Least Common Multiples of 918

Frequently Asked Questions on LCM of 914 and 918

1. What is the LCM of 914 and 918?

Answer: LCM of 914 and 918 is 419526.

2. What are the Factors of 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

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 914 and 918?

Answer:

Least Common Multiple of 914 and 918 = 419526

Step 1: Find the prime factorization of 914

914 = 2 x 457

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 = 419526 = 2 x 3 x 3 x 3 x 17 x 457

Step 4: Therefore, the least common multiple of 914 and 918 is 419526.