Least Common Multiple of 8792 and 8796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8792 and 8796 the smallest integer that is 19333608 that is divisible by both numbers.

Least Common Multiple (LCM) of 8792 and 8796 is 19333608.

LCM(8792,8796) = 19333608

LCM of 8792 and 8796

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

LCM of:
and

Least Common Multiple of 8792 and 8796

LCM of 8792 and 8796 is 19333608

Least common multiple can be found by multiplying the highest exponent prime factors of 8792 and 8796. First we will calculate the prime factors of 8792 and 8796.

Prime Factorization of 8792


2 8792
2 4396
2 2198
7 1099
157 157
1

Prime factors of 8792 are 2, 7,157. Prime factorization of 8792 in exponential form is:

8792 = 23×71×1571

Prime Factorization of 8796


2 8796
2 4398
3 2199
733 733
1

Prime factors of 8796 are 2, 3,733. Prime factorization of 8796 in exponential form is:

8796 = 22×31×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 8792 and 8796.

LCM(8792,8796) = 23×31×71×1571×7331
LCM(8792,8796) = 19333608

Factors of 8792

List of positive integer factors of 8792 that divides 8792 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792

Factors of 8796

List of positive integer factors of 8796 that divides 8796 without a remainder.

1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796

Least Common Multiple of 8792 and 8796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8792 and 8796, than apply into the LCM equation.

GCF(8792,8796) = 4
LCM(8792,8796) = ( 8792 × 8796) / 4
LCM(8792,8796) = 77334432 / 4
LCM(8792,8796) = 19333608

Properties of LCM 8792 and 8796

(i) The LCM of 8796 and 8792 is associative

LCM of 8792 and 8796 = LCM of 8796 and 8792

Related Least Common Multiples of 8792

Related Least Common Multiples of 8796

Frequently Asked Questions on LCM of 8792 and 8796

1. What is the LCM of 8792 and 8796?

Answer: LCM of 8792 and 8796 is 19333608.

2. What are the Factors of 8792?

Answer: Factors of 8792 are 1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792. There are 16 integers that are factors of 8792. The greatest factor of 8792 is 8792.

3. What are the Factors of 8796?

Answer: Factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796. There are 12 integers that are factors of 8796. The greatest factor of 8796 is 8796.

4. How to Find the LCM of 8792 and 8796?

Answer:

Least Common Multiple of 8792 and 8796 = 19333608

Step 1: Find the prime factorization of 8792

8792 = 2 x 2 x 2 x 7 x 157

Step 2: Find the prime factorization of 8796

8796 = 2 x 2 x 3 x 733

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

LCM = 19333608 = 2 x 2 x 2 x 3 x 7 x 157 x 733

Step 4: Therefore, the least common multiple of 8792 and 8796 is 19333608.