Least Common Multiple of 8792 and 8798

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 8798 the smallest integer that is 38676008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8792 and 8798 is 38676008.

LCM(8792,8798) = 38676008

LCM of 8792 and 8798

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

LCM of:
and

Least Common Multiple of 8792 and 8798

LCM of 8792 and 8798 is 38676008

Least common multiple can be found by multiplying the highest exponent prime factors of 8792 and 8798. First we will calculate the prime factors of 8792 and 8798.

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 8798


2 8798
53 4399
83 83
1

Prime factors of 8798 are 2, 53,83. Prime factorization of 8798 in exponential form is:

8798 = 21×531×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8792 and 8798.

LCM(8792,8798) = 23×71×531×831×1571
LCM(8792,8798) = 38676008

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 8798

List of positive integer factors of 8798 that divides 8798 without a remainder.

1, 2, 53, 83, 106, 166, 4399, 8798

Least Common Multiple of 8792 and 8798 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 8798, than apply into the LCM equation.

GCF(8792,8798) = 2
LCM(8792,8798) = ( 8792 × 8798) / 2
LCM(8792,8798) = 77352016 / 2
LCM(8792,8798) = 38676008

Properties of LCM 8792 and 8798

(i) The LCM of 8798 and 8792 is associative

LCM of 8792 and 8798 = LCM of 8798 and 8792

Related Least Common Multiples of 8792

Related Least Common Multiples of 8798

Frequently Asked Questions on LCM of 8792 and 8798

1. What is the LCM of 8792 and 8798?

Answer: LCM of 8792 and 8798 is 38676008.

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 8798?

Answer: Factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798. There are 8 integers that are factors of 8798. The greatest factor of 8798 is 8798.

4. How to Find the LCM of 8792 and 8798?

Answer:

Least Common Multiple of 8792 and 8798 = 38676008

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 8798

8798 = 2 x 53 x 83

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

LCM = 38676008 = 2 x 2 x 2 x 7 x 53 x 83 x 157

Step 4: Therefore, the least common multiple of 8792 and 8798 is 38676008.