Least Common Multiple of 918 and 924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 918 and 924 the smallest integer that is 141372 that is divisible by both numbers.

Least Common Multiple (LCM) of 918 and 924 is 141372.

LCM(918,924) = 141372

LCM of 918 and 924

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

LCM of:
and

Least Common Multiple of 918 and 924

LCM of 918 and 924 is 141372

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 924. First we will calculate the prime factors of 918 and 924.

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

Prime Factorization of 924


2 924
2 462
3 231
7 77
11 11
1

Prime factors of 924 are 2, 3, 7,11. Prime factorization of 924 in exponential form is:

924 = 22×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 918 and 924.

LCM(918,924) = 22×33×71×111×171
LCM(918,924) = 141372

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

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Least Common Multiple of 918 and 924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 918 and 924, than apply into the LCM equation.

GCF(918,924) = 6
LCM(918,924) = ( 918 × 924) / 6
LCM(918,924) = 848232 / 6
LCM(918,924) = 141372

Properties of LCM 918 and 924

(i) The LCM of 924 and 918 is associative

LCM of 918 and 924 = LCM of 924 and 918

Related Least Common Multiples of 918

Related Least Common Multiples of 924

Frequently Asked Questions on LCM of 918 and 924

1. What is the LCM of 918 and 924?

Answer: LCM of 918 and 924 is 141372.

2. 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.

3. What are the Factors of 924?

Answer: Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. There are 24 integers that are factors of 924. The greatest factor of 924 is 924.

4. How to Find the LCM of 918 and 924?

Answer:

Least Common Multiple of 918 and 924 = 141372

Step 1: Find the prime factorization of 918

918 = 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 924

924 = 2 x 2 x 3 x 7 x 11

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

LCM = 141372 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 918 and 924 is 141372.