Least Common Multiple of 918 and 922

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 922 the smallest integer that is 423198 that is divisible by both numbers.

Least Common Multiple (LCM) of 918 and 922 is 423198.

LCM(918,922) = 423198

LCM of 918 and 922

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

LCM of:
and

Least Common Multiple of 918 and 922

LCM of 918 and 922 is 423198

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 922. First we will calculate the prime factors of 918 and 922.

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 922


2 922
461 461
1

Prime factors of 922 are 2,461. Prime factorization of 922 in exponential form is:

922 = 21×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 918 and 922.

LCM(918,922) = 21×33×171×4611
LCM(918,922) = 423198

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 922

List of positive integer factors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Least Common Multiple of 918 and 922 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 922, than apply into the LCM equation.

GCF(918,922) = 2
LCM(918,922) = ( 918 × 922) / 2
LCM(918,922) = 846396 / 2
LCM(918,922) = 423198

Properties of LCM 918 and 922

(i) The LCM of 922 and 918 is associative

LCM of 918 and 922 = LCM of 922 and 918

Related Least Common Multiples of 918

Related Least Common Multiples of 922

Frequently Asked Questions on LCM of 918 and 922

1. What is the LCM of 918 and 922?

Answer: LCM of 918 and 922 is 423198.

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 922?

Answer: Factors of 922 are 1, 2, 461, 922. There are 4 integers that are factors of 922. The greatest factor of 922 is 922.

4. How to Find the LCM of 918 and 922?

Answer:

Least Common Multiple of 918 and 922 = 423198

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 922

922 = 2 x 461

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

LCM = 423198 = 2 x 3 x 3 x 3 x 17 x 461

Step 4: Therefore, the least common multiple of 918 and 922 is 423198.