Least Common Multiple of 915 and 916

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 916 the smallest integer that is 838140 that is divisible by both numbers.

Least Common Multiple (LCM) of 915 and 916 is 838140.

LCM(915,916) = 838140

LCM of 915 and 916

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

LCM of:
and

Least Common Multiple of 915 and 916

LCM of 915 and 916 is 838140

Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 916. First we will calculate the prime factors of 915 and 916.

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 916


2 916
2 458
229 229
1

Prime factors of 916 are 2,229. Prime factorization of 916 in exponential form is:

916 = 22×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 915 and 916.

LCM(915,916) = 22×31×51×611×2291
LCM(915,916) = 838140

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 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Least Common Multiple of 915 and 916 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 916, than apply into the LCM equation.

GCF(915,916) = 1
LCM(915,916) = ( 915 × 916) / 1
LCM(915,916) = 838140 / 1
LCM(915,916) = 838140

Properties of LCM 915 and 916

(i) The LCM of 916 and 915 is associative

LCM of 915 and 916 = LCM of 916 and 915

Related Least Common Multiples of 915

Related Least Common Multiples of 916

Frequently Asked Questions on LCM of 915 and 916

1. What is the LCM of 915 and 916?

Answer: LCM of 915 and 916 is 838140.

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 916?

Answer: Factors of 916 are 1, 2, 4, 229, 458, 916. There are 6 integers that are factors of 916. The greatest factor of 916 is 916.

4. How to Find the LCM of 915 and 916?

Answer:

Least Common Multiple of 915 and 916 = 838140

Step 1: Find the prime factorization of 915

915 = 3 x 5 x 61

Step 2: Find the prime factorization of 916

916 = 2 x 2 x 229

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

LCM = 838140 = 2 x 2 x 3 x 5 x 61 x 229

Step 4: Therefore, the least common multiple of 915 and 916 is 838140.