Least Common Multiple of 913 and 914

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 914 the smallest integer that is 834482 that is divisible by both numbers.

Least Common Multiple (LCM) of 913 and 914 is 834482.

LCM(913,914) = 834482

LCM of 913 and 914

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

LCM of:
and

Least Common Multiple of 913 and 914

LCM of 913 and 914 is 834482

Least common multiple can be found by multiplying the highest exponent prime factors of 913 and 914. First we will calculate the prime factors of 913 and 914.

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 914


2 914
457 457
1

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

914 = 21×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 913 and 914.

LCM(913,914) = 21×111×831×4571
LCM(913,914) = 834482

Factors of 913

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

1, 11, 83, 913

Factors of 914

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

1, 2, 457, 914

Least Common Multiple of 913 and 914 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 914, than apply into the LCM equation.

GCF(913,914) = 1
LCM(913,914) = ( 913 × 914) / 1
LCM(913,914) = 834482 / 1
LCM(913,914) = 834482

Properties of LCM 913 and 914

(i) The LCM of 914 and 913 is associative

LCM of 913 and 914 = LCM of 914 and 913

Related Least Common Multiples of 913

Related Least Common Multiples of 914

Frequently Asked Questions on LCM of 913 and 914

1. What is the LCM of 913 and 914?

Answer: LCM of 913 and 914 is 834482.

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 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.

4. How to Find the LCM of 913 and 914?

Answer:

Least Common Multiple of 913 and 914 = 834482

Step 1: Find the prime factorization of 913

913 = 11 x 83

Step 2: Find the prime factorization of 914

914 = 2 x 457

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

LCM = 834482 = 2 x 11 x 83 x 457

Step 4: Therefore, the least common multiple of 913 and 914 is 834482.