Least Common Multiple of 911 and 917

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 917 the smallest integer that is 835387 that is divisible by both numbers.

Least Common Multiple (LCM) of 911 and 917 is 835387.

LCM(911,917) = 835387

LCM of 911 and 917

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

LCM of:
and

Least Common Multiple of 911 and 917

LCM of 911 and 917 is 835387

Least common multiple can be found by multiplying the highest exponent prime factors of 911 and 917. First we will calculate the prime factors of 911 and 917.

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 917


7 917
131 131
1

Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:

917 = 71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 911 and 917.

LCM(911,917) = 71×1311×9111
LCM(911,917) = 835387

Factors of 911

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

1, 911

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Least Common Multiple of 911 and 917 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 917, than apply into the LCM equation.

GCF(911,917) = 1
LCM(911,917) = ( 911 × 917) / 1
LCM(911,917) = 835387 / 1
LCM(911,917) = 835387

Properties of LCM 911 and 917

(i) The LCM of 917 and 911 is associative

LCM of 911 and 917 = LCM of 917 and 911

Related Least Common Multiples of 911

Related Least Common Multiples of 917

Frequently Asked Questions on LCM of 911 and 917

1. What is the LCM of 911 and 917?

Answer: LCM of 911 and 917 is 835387.

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 917?

Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.

4. How to Find the LCM of 911 and 917?

Answer:

Least Common Multiple of 911 and 917 = 835387

Step 1: Find the prime factorization of 911

911 = 911

Step 2: Find the prime factorization of 917

917 = 7 x 131

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

LCM = 835387 = 7 x 131 x 911

Step 4: Therefore, the least common multiple of 911 and 917 is 835387.