Least Common Multiple of 910 and 911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 910 and 911 the smallest integer that is 829010 that is divisible by both numbers.

Least Common Multiple (LCM) of 910 and 911 is 829010.

LCM(910,911) = 829010

LCM of 910 and 911

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

LCM of:
and

Least Common Multiple of 910 and 911

LCM of 910 and 911 is 829010

Least common multiple can be found by multiplying the highest exponent prime factors of 910 and 911. First we will calculate the prime factors of 910 and 911.

Prime Factorization of 910


2 910
5 455
7 91
13 13
1

Prime factors of 910 are 2, 5, 7,13. Prime factorization of 910 in exponential form is:

910 = 21×51×71×131

Prime Factorization of 911


911 911
1

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

911 = 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 910 and 911.

LCM(910,911) = 21×51×71×131×9111
LCM(910,911) = 829010

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Factors of 911

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

1, 911

Least Common Multiple of 910 and 911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 910 and 911, than apply into the LCM equation.

GCF(910,911) = 1
LCM(910,911) = ( 910 × 911) / 1
LCM(910,911) = 829010 / 1
LCM(910,911) = 829010

Properties of LCM 910 and 911

(i) The LCM of 911 and 910 is associative

LCM of 910 and 911 = LCM of 911 and 910

Related Least Common Multiples of 910

Related Least Common Multiples of 911

Frequently Asked Questions on LCM of 910 and 911

1. What is the LCM of 910 and 911?

Answer: LCM of 910 and 911 is 829010.

2. What are the Factors of 910?

Answer: Factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910. There are 16 integers that are factors of 910. The greatest factor of 910 is 910.

3. 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.

4. How to Find the LCM of 910 and 911?

Answer:

Least Common Multiple of 910 and 911 = 829010

Step 1: Find the prime factorization of 910

910 = 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 911

911 = 911

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

LCM = 829010 = 2 x 5 x 7 x 13 x 911

Step 4: Therefore, the least common multiple of 910 and 911 is 829010.