Least Common Multiple of 912 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 912 and 918 the smallest integer that is 139536 that is divisible by both numbers.

Least Common Multiple (LCM) of 912 and 918 is 139536.

LCM(912,918) = 139536

LCM of 912 and 918

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

LCM of:
and

Least Common Multiple of 912 and 918

LCM of 912 and 918 is 139536

Least common multiple can be found by multiplying the highest exponent prime factors of 912 and 918. First we will calculate the prime factors of 912 and 918.

Prime Factorization of 912


2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 912 are 2, 3,19. Prime factorization of 912 in exponential form is:

912 = 24×31×191

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 912 and 918.

LCM(912,918) = 24×33×171×191
LCM(912,918) = 139536

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 912 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 912 and 918, than apply into the LCM equation.

GCF(912,918) = 6
LCM(912,918) = ( 912 × 918) / 6
LCM(912,918) = 837216 / 6
LCM(912,918) = 139536

Properties of LCM 912 and 918

(i) The LCM of 918 and 912 is associative

LCM of 912 and 918 = LCM of 918 and 912

Related Least Common Multiples of 912

Related Least Common Multiples of 918

Frequently Asked Questions on LCM of 912 and 918

1. What is the LCM of 912 and 918?

Answer: LCM of 912 and 918 is 139536.

2. What are the Factors of 912?

Answer: Factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912. There are 20 integers that are factors of 912. The greatest factor of 912 is 912.

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 912 and 918?

Answer:

Least Common Multiple of 912 and 918 = 139536

Step 1: Find the prime factorization of 912

912 = 2 x 2 x 2 x 2 x 3 x 19

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 = 139536 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19

Step 4: Therefore, the least common multiple of 912 and 918 is 139536.