Least Common Multiple of 916 and 924

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 924 the smallest integer that is 211596 that is divisible by both numbers.

Least Common Multiple (LCM) of 916 and 924 is 211596.

LCM(916,924) = 211596

LCM of 916 and 924

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

LCM of:
and

Least Common Multiple of 916 and 924

LCM of 916 and 924 is 211596

Least common multiple can be found by multiplying the highest exponent prime factors of 916 and 924. First we will calculate the prime factors of 916 and 924.

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 924


2 924
2 462
3 231
7 77
11 11
1

Prime factors of 924 are 2, 3, 7,11. Prime factorization of 924 in exponential form is:

924 = 22×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 916 and 924.

LCM(916,924) = 22×31×71×111×2291
LCM(916,924) = 211596

Factors of 916

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

1, 2, 4, 229, 458, 916

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Least Common Multiple of 916 and 924 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 924, than apply into the LCM equation.

GCF(916,924) = 4
LCM(916,924) = ( 916 × 924) / 4
LCM(916,924) = 846384 / 4
LCM(916,924) = 211596

Properties of LCM 916 and 924

(i) The LCM of 924 and 916 is associative

LCM of 916 and 924 = LCM of 924 and 916

Related Least Common Multiples of 916

Related Least Common Multiples of 924

Frequently Asked Questions on LCM of 916 and 924

1. What is the LCM of 916 and 924?

Answer: LCM of 916 and 924 is 211596.

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 924?

Answer: Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. There are 24 integers that are factors of 924. The greatest factor of 924 is 924.

4. How to Find the LCM of 916 and 924?

Answer:

Least Common Multiple of 916 and 924 = 211596

Step 1: Find the prime factorization of 916

916 = 2 x 2 x 229

Step 2: Find the prime factorization of 924

924 = 2 x 2 x 3 x 7 x 11

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

LCM = 211596 = 2 x 2 x 3 x 7 x 11 x 229

Step 4: Therefore, the least common multiple of 916 and 924 is 211596.