Least Common Multiple of 916 and 922

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 922 the smallest integer that is 422276 that is divisible by both numbers.

Least Common Multiple (LCM) of 916 and 922 is 422276.

LCM(916,922) = 422276

LCM of 916 and 922

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

LCM of:
and

Least Common Multiple of 916 and 922

LCM of 916 and 922 is 422276

Least common multiple can be found by multiplying the highest exponent prime factors of 916 and 922. First we will calculate the prime factors of 916 and 922.

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 922


2 922
461 461
1

Prime factors of 922 are 2,461. Prime factorization of 922 in exponential form is:

922 = 21×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 916 and 922.

LCM(916,922) = 22×2291×4611
LCM(916,922) = 422276

Factors of 916

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

1, 2, 4, 229, 458, 916

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Least Common Multiple of 916 and 922 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 922, than apply into the LCM equation.

GCF(916,922) = 2
LCM(916,922) = ( 916 × 922) / 2
LCM(916,922) = 844552 / 2
LCM(916,922) = 422276

Properties of LCM 916 and 922

(i) The LCM of 922 and 916 is associative

LCM of 916 and 922 = LCM of 922 and 916

Related Least Common Multiples of 916

Related Least Common Multiples of 922

Frequently Asked Questions on LCM of 916 and 922

1. What is the LCM of 916 and 922?

Answer: LCM of 916 and 922 is 422276.

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 922?

Answer: Factors of 922 are 1, 2, 461, 922. There are 4 integers that are factors of 922. The greatest factor of 922 is 922.

4. How to Find the LCM of 916 and 922?

Answer:

Least Common Multiple of 916 and 922 = 422276

Step 1: Find the prime factorization of 916

916 = 2 x 2 x 229

Step 2: Find the prime factorization of 922

922 = 2 x 461

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

LCM = 422276 = 2 x 2 x 229 x 461

Step 4: Therefore, the least common multiple of 916 and 922 is 422276.