Least Common Multiple of 914 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 914 and 915 the smallest integer that is 836310 that is divisible by both numbers.

Least Common Multiple (LCM) of 914 and 915 is 836310.

LCM(914,915) = 836310

LCM of 914 and 915

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

LCM of:
and

Least Common Multiple of 914 and 915

LCM of 914 and 915 is 836310

Least common multiple can be found by multiplying the highest exponent prime factors of 914 and 915. First we will calculate the prime factors of 914 and 915.

Prime Factorization of 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

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 914 and 915.

LCM(914,915) = 21×31×51×611×4571
LCM(914,915) = 836310

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 914 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 914 and 915, than apply into the LCM equation.

GCF(914,915) = 1
LCM(914,915) = ( 914 × 915) / 1
LCM(914,915) = 836310 / 1
LCM(914,915) = 836310

Properties of LCM 914 and 915

(i) The LCM of 915 and 914 is associative

LCM of 914 and 915 = LCM of 915 and 914

Related Least Common Multiples of 914

Related Least Common Multiples of 915

Frequently Asked Questions on LCM of 914 and 915

1. What is the LCM of 914 and 915?

Answer: LCM of 914 and 915 is 836310.

2. What are the Factors of 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

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 914 and 915?

Answer:

Least Common Multiple of 914 and 915 = 836310

Step 1: Find the prime factorization of 914

914 = 2 x 457

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 = 836310 = 2 x 3 x 5 x 61 x 457

Step 4: Therefore, the least common multiple of 914 and 915 is 836310.