Least Common Multiple of 915 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 915 and 920 the smallest integer that is 168360 that is divisible by both numbers.

Least Common Multiple (LCM) of 915 and 920 is 168360.

LCM(915,920) = 168360

LCM of 915 and 920

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

LCM of:
and

Least Common Multiple of 915 and 920

LCM of 915 and 920 is 168360

Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 920. First we will calculate the prime factors of 915 and 920.

Prime Factorization of 915


3 915
5 305
61 61
1

Prime factors of 915 are 3, 5,61. Prime factorization of 915 in exponential form is:

915 = 31×51×611

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 915 and 920.

LCM(915,920) = 23×31×51×231×611
LCM(915,920) = 168360

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

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 915 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 915 and 920, than apply into the LCM equation.

GCF(915,920) = 5
LCM(915,920) = ( 915 × 920) / 5
LCM(915,920) = 841800 / 5
LCM(915,920) = 168360

Properties of LCM 915 and 920

(i) The LCM of 920 and 915 is associative

LCM of 915 and 920 = LCM of 920 and 915

Related Least Common Multiples of 915

Related Least Common Multiples of 920

Frequently Asked Questions on LCM of 915 and 920

1. What is the LCM of 915 and 920?

Answer: LCM of 915 and 920 is 168360.

2. What are the Factors of 915?

Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.

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 915 and 920?

Answer:

Least Common Multiple of 915 and 920 = 168360

Step 1: Find the prime factorization of 915

915 = 3 x 5 x 61

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 = 168360 = 2 x 2 x 2 x 3 x 5 x 23 x 61

Step 4: Therefore, the least common multiple of 915 and 920 is 168360.