Least Common Multiple of 911 and 916

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 916 the smallest integer that is 834476 that is divisible by both numbers.

Least Common Multiple (LCM) of 911 and 916 is 834476.

LCM(911,916) = 834476

LCM of 911 and 916

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

LCM of:
and

Least Common Multiple of 911 and 916

LCM of 911 and 916 is 834476

Least common multiple can be found by multiplying the highest exponent prime factors of 911 and 916. First we will calculate the prime factors of 911 and 916.

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 916


2 916
2 458
229 229
1

Prime factors of 916 are 2,229. Prime factorization of 916 in exponential form is:

916 = 22×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 911 and 916.

LCM(911,916) = 22×2291×9111
LCM(911,916) = 834476

Factors of 911

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

1, 911

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Least Common Multiple of 911 and 916 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 916, than apply into the LCM equation.

GCF(911,916) = 1
LCM(911,916) = ( 911 × 916) / 1
LCM(911,916) = 834476 / 1
LCM(911,916) = 834476

Properties of LCM 911 and 916

(i) The LCM of 916 and 911 is associative

LCM of 911 and 916 = LCM of 916 and 911

Related Least Common Multiples of 911

Related Least Common Multiples of 916

Frequently Asked Questions on LCM of 911 and 916

1. What is the LCM of 911 and 916?

Answer: LCM of 911 and 916 is 834476.

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 916?

Answer: Factors of 916 are 1, 2, 4, 229, 458, 916. There are 6 integers that are factors of 916. The greatest factor of 916 is 916.

4. How to Find the LCM of 911 and 916?

Answer:

Least Common Multiple of 911 and 916 = 834476

Step 1: Find the prime factorization of 911

911 = 911

Step 2: Find the prime factorization of 916

916 = 2 x 2 x 229

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

LCM = 834476 = 2 x 2 x 229 x 911

Step 4: Therefore, the least common multiple of 911 and 916 is 834476.