Least Common Multiple of 911 and 913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 911 and 913 the smallest integer that is 831743 that is divisible by both numbers.

Least Common Multiple (LCM) of 911 and 913 is 831743.

LCM(911,913) = 831743

LCM of 911 and 913

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

LCM of:
and

Least Common Multiple of 911 and 913

LCM of 911 and 913 is 831743

Least common multiple can be found by multiplying the highest exponent prime factors of 911 and 913. First we will calculate the prime factors of 911 and 913.

Prime Factorization of 911


911 911
1

Prime factors of 911 are 911. Prime factorization of 911 in exponential form is:

911 = 9111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 911 and 913.

LCM(911,913) = 111×831×9111
LCM(911,913) = 831743

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1, 911

Factors of 913

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

1, 11, 83, 913

Least Common Multiple of 911 and 913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 911 and 913, than apply into the LCM equation.

GCF(911,913) = 1
LCM(911,913) = ( 911 × 913) / 1
LCM(911,913) = 831743 / 1
LCM(911,913) = 831743

Properties of LCM 911 and 913

(i) The LCM of 913 and 911 is associative

LCM of 911 and 913 = LCM of 913 and 911

Related Least Common Multiples of 911

Related Least Common Multiples of 913

Frequently Asked Questions on LCM of 911 and 913

1. What is the LCM of 911 and 913?

Answer: LCM of 911 and 913 is 831743.

2. What are the Factors of 911?

Answer: Factors of 911 are 1, 911. There are 2 integers that are factors of 911. The greatest factor of 911 is 911.

3. 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.

4. How to Find the LCM of 911 and 913?

Answer:

Least Common Multiple of 911 and 913 = 831743

Step 1: Find the prime factorization of 911

911 = 911

Step 2: Find the prime factorization of 913

913 = 11 x 83

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

LCM = 831743 = 11 x 83 x 911

Step 4: Therefore, the least common multiple of 911 and 913 is 831743.