Least Common Multiple of 913 and 915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 913 and 915 the smallest integer that is 835395 that is divisible by both numbers.

Least Common Multiple (LCM) of 913 and 915 is 835395.

LCM(913,915) = 835395

LCM of 913 and 915

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

LCM of:
and

Least Common Multiple of 913 and 915

LCM of 913 and 915 is 835395

Least common multiple can be found by multiplying the highest exponent prime factors of 913 and 915. First we will calculate the prime factors of 913 and 915.

Prime Factorization of 913


11 913
83 83
1

Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:

913 = 111×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 913 and 915.

LCM(913,915) = 31×51×111×611×831
LCM(913,915) = 835395

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Factors of 915

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

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

Least Common Multiple of 913 and 915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 913 and 915, than apply into the LCM equation.

GCF(913,915) = 1
LCM(913,915) = ( 913 × 915) / 1
LCM(913,915) = 835395 / 1
LCM(913,915) = 835395

Properties of LCM 913 and 915

(i) The LCM of 915 and 913 is associative

LCM of 913 and 915 = LCM of 915 and 913

Related Least Common Multiples of 913

Related Least Common Multiples of 915

Frequently Asked Questions on LCM of 913 and 915

1. What is the LCM of 913 and 915?

Answer: LCM of 913 and 915 is 835395.

2. What are the Factors of 913?

Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.

3. 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.

4. How to Find the LCM of 913 and 915?

Answer:

Least Common Multiple of 913 and 915 = 835395

Step 1: Find the prime factorization of 913

913 = 11 x 83

Step 2: Find the prime factorization of 915

915 = 3 x 5 x 61

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

LCM = 835395 = 3 x 5 x 11 x 61 x 83

Step 4: Therefore, the least common multiple of 913 and 915 is 835395.