Least Common Multiple of 916 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 916 and 917 the smallest integer that is 839972 that is divisible by both numbers.

Least Common Multiple (LCM) of 916 and 917 is 839972.

LCM(916,917) = 839972

LCM of 916 and 917

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

LCM of:
and

Least Common Multiple of 916 and 917

LCM of 916 and 917 is 839972

Least common multiple can be found by multiplying the highest exponent prime factors of 916 and 917. First we will calculate the prime factors of 916 and 917.

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

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 916 and 917.

LCM(916,917) = 22×71×1311×2291
LCM(916,917) = 839972

Factors of 916

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

1, 2, 4, 229, 458, 916

Factors of 917

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

1, 7, 131, 917

Least Common Multiple of 916 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 916 and 917, than apply into the LCM equation.

GCF(916,917) = 1
LCM(916,917) = ( 916 × 917) / 1
LCM(916,917) = 839972 / 1
LCM(916,917) = 839972

Properties of LCM 916 and 917

(i) The LCM of 917 and 916 is associative

LCM of 916 and 917 = LCM of 917 and 916

Related Least Common Multiples of 916

Related Least Common Multiples of 917

Frequently Asked Questions on LCM of 916 and 917

1. What is the LCM of 916 and 917?

Answer: LCM of 916 and 917 is 839972.

2. 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.

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 916 and 917?

Answer:

Least Common Multiple of 916 and 917 = 839972

Step 1: Find the prime factorization of 916

916 = 2 x 2 x 229

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 = 839972 = 2 x 2 x 7 x 131 x 229

Step 4: Therefore, the least common multiple of 916 and 917 is 839972.