Least Common Multiple of 917 and 920

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 920 the smallest integer that is 843640 that is divisible by both numbers.

Least Common Multiple (LCM) of 917 and 920 is 843640.

LCM(917,920) = 843640

LCM of 917 and 920

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

LCM of:
and

Least Common Multiple of 917 and 920

LCM of 917 and 920 is 843640

Least common multiple can be found by multiplying the highest exponent prime factors of 917 and 920. First we will calculate the prime factors of 917 and 920.

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 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 917 and 920.

LCM(917,920) = 23×51×71×231×1311
LCM(917,920) = 843640

Factors of 917

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

1, 7, 131, 917

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Least Common Multiple of 917 and 920 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 920, than apply into the LCM equation.

GCF(917,920) = 1
LCM(917,920) = ( 917 × 920) / 1
LCM(917,920) = 843640 / 1
LCM(917,920) = 843640

Properties of LCM 917 and 920

(i) The LCM of 920 and 917 is associative

LCM of 917 and 920 = LCM of 920 and 917

Related Least Common Multiples of 917

Related Least Common Multiples of 920

Frequently Asked Questions on LCM of 917 and 920

1. What is the LCM of 917 and 920?

Answer: LCM of 917 and 920 is 843640.

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 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

4. How to Find the LCM of 917 and 920?

Answer:

Least Common Multiple of 917 and 920 = 843640

Step 1: Find the prime factorization of 917

917 = 7 x 131

Step 2: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

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

LCM = 843640 = 2 x 2 x 2 x 5 x 7 x 23 x 131

Step 4: Therefore, the least common multiple of 917 and 920 is 843640.