Least Common Multiple of 8916 and 8924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8916 and 8924 the smallest integer that is 19891596 that is divisible by both numbers.

Least Common Multiple (LCM) of 8916 and 8924 is 19891596.

LCM(8916,8924) = 19891596

LCM of 8916 and 8924

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

LCM of:
and

Least Common Multiple of 8916 and 8924

LCM of 8916 and 8924 is 19891596

Least common multiple can be found by multiplying the highest exponent prime factors of 8916 and 8924. First we will calculate the prime factors of 8916 and 8924.

Prime Factorization of 8916


2 8916
2 4458
3 2229
743 743
1

Prime factors of 8916 are 2, 3,743. Prime factorization of 8916 in exponential form is:

8916 = 22×31×7431

Prime Factorization of 8924


2 8924
2 4462
23 2231
97 97
1

Prime factors of 8924 are 2, 23,97. Prime factorization of 8924 in exponential form is:

8924 = 22×231×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8916 and 8924.

LCM(8916,8924) = 22×31×231×971×7431
LCM(8916,8924) = 19891596

Factors of 8916

List of positive integer factors of 8916 that divides 8916 without a remainder.

1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916

Factors of 8924

List of positive integer factors of 8924 that divides 8924 without a remainder.

1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924

Least Common Multiple of 8916 and 8924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8916 and 8924, than apply into the LCM equation.

GCF(8916,8924) = 4
LCM(8916,8924) = ( 8916 × 8924) / 4
LCM(8916,8924) = 79566384 / 4
LCM(8916,8924) = 19891596

Properties of LCM 8916 and 8924

(i) The LCM of 8924 and 8916 is associative

LCM of 8916 and 8924 = LCM of 8924 and 8916

Related Least Common Multiples of 8916

Related Least Common Multiples of 8924

Frequently Asked Questions on LCM of 8916 and 8924

1. What is the LCM of 8916 and 8924?

Answer: LCM of 8916 and 8924 is 19891596.

2. What are the Factors of 8916?

Answer: Factors of 8916 are 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916. There are 12 integers that are factors of 8916. The greatest factor of 8916 is 8916.

3. What are the Factors of 8924?

Answer: Factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924. There are 12 integers that are factors of 8924. The greatest factor of 8924 is 8924.

4. How to Find the LCM of 8916 and 8924?

Answer:

Least Common Multiple of 8916 and 8924 = 19891596

Step 1: Find the prime factorization of 8916

8916 = 2 x 2 x 3 x 743

Step 2: Find the prime factorization of 8924

8924 = 2 x 2 x 23 x 97

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

LCM = 19891596 = 2 x 2 x 3 x 23 x 97 x 743

Step 4: Therefore, the least common multiple of 8916 and 8924 is 19891596.