Least Common Multiple of 8792 and 8795

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 8795 the smallest integer that is 77325640 that is divisible by both numbers.

Least Common Multiple (LCM) of 8792 and 8795 is 77325640.

LCM(8792,8795) = 77325640

LCM of 8792 and 8795

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

LCM of:
and

Least Common Multiple of 8792 and 8795

LCM of 8792 and 8795 is 77325640

Least common multiple can be found by multiplying the highest exponent prime factors of 8792 and 8795. First we will calculate the prime factors of 8792 and 8795.

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 8795


5 8795
1759 1759
1

Prime factors of 8795 are 5,1759. Prime factorization of 8795 in exponential form is:

8795 = 51×17591

Now multiplying the highest exponent prime factors to calculate the LCM of 8792 and 8795.

LCM(8792,8795) = 23×51×71×1571×17591
LCM(8792,8795) = 77325640

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 8795

List of positive integer factors of 8795 that divides 8795 without a remainder.

1, 5, 1759, 8795

Least Common Multiple of 8792 and 8795 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 8795, than apply into the LCM equation.

GCF(8792,8795) = 1
LCM(8792,8795) = ( 8792 × 8795) / 1
LCM(8792,8795) = 77325640 / 1
LCM(8792,8795) = 77325640

Properties of LCM 8792 and 8795

(i) The LCM of 8795 and 8792 is associative

LCM of 8792 and 8795 = LCM of 8795 and 8792

Related Least Common Multiples of 8792

Related Least Common Multiples of 8795

Frequently Asked Questions on LCM of 8792 and 8795

1. What is the LCM of 8792 and 8795?

Answer: LCM of 8792 and 8795 is 77325640.

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 8795?

Answer: Factors of 8795 are 1, 5, 1759, 8795. There are 4 integers that are factors of 8795. The greatest factor of 8795 is 8795.

4. How to Find the LCM of 8792 and 8795?

Answer:

Least Common Multiple of 8792 and 8795 = 77325640

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 8795

8795 = 5 x 1759

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

LCM = 77325640 = 2 x 2 x 2 x 5 x 7 x 157 x 1759

Step 4: Therefore, the least common multiple of 8792 and 8795 is 77325640.