Least Common Multiple of 917 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 917 and 922 the smallest integer that is 845474 that is divisible by both numbers.

Least Common Multiple (LCM) of 917 and 922 is 845474.

LCM(917,922) = 845474

LCM of 917 and 922

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

LCM of:
and

Least Common Multiple of 917 and 922

LCM of 917 and 922 is 845474

Least common multiple can be found by multiplying the highest exponent prime factors of 917 and 922. First we will calculate the prime factors of 917 and 922.

Prime Factorization of 917


7 917
131 131
1

Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:

917 = 71×1311

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 917 and 922.

LCM(917,922) = 21×71×1311×4611
LCM(917,922) = 845474

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Factors of 922

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

1, 2, 461, 922

Least Common Multiple of 917 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 917 and 922, than apply into the LCM equation.

GCF(917,922) = 1
LCM(917,922) = ( 917 × 922) / 1
LCM(917,922) = 845474 / 1
LCM(917,922) = 845474

Properties of LCM 917 and 922

(i) The LCM of 922 and 917 is associative

LCM of 917 and 922 = LCM of 922 and 917

Related Least Common Multiples of 917

Related Least Common Multiples of 922

Frequently Asked Questions on LCM of 917 and 922

1. What is the LCM of 917 and 922?

Answer: LCM of 917 and 922 is 845474.

2. What are the Factors of 917?

Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.

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 917 and 922?

Answer:

Least Common Multiple of 917 and 922 = 845474

Step 1: Find the prime factorization of 917

917 = 7 x 131

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 = 845474 = 2 x 7 x 131 x 461

Step 4: Therefore, the least common multiple of 917 and 922 is 845474.