Least Common Multiple of 8791 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 8791 and 8798 the smallest integer that is 77343218 that is divisible by both numbers.

Least Common Multiple (LCM) of 8791 and 8798 is 77343218.

LCM(8791,8798) = 77343218

LCM of 8791 and 8798

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

LCM of:
and

Least Common Multiple of 8791 and 8798

LCM of 8791 and 8798 is 77343218

Least common multiple can be found by multiplying the highest exponent prime factors of 8791 and 8798. First we will calculate the prime factors of 8791 and 8798.

Prime Factorization of 8791


59 8791
149 149
1

Prime factors of 8791 are 59,149. Prime factorization of 8791 in exponential form is:

8791 = 591×1491

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 8791 and 8798.

LCM(8791,8798) = 21×531×591×831×1491
LCM(8791,8798) = 77343218

Factors of 8791

List of positive integer factors of 8791 that divides 8791 without a remainder.

1, 59, 149, 8791

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 8791 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 8791 and 8798, than apply into the LCM equation.

GCF(8791,8798) = 1
LCM(8791,8798) = ( 8791 × 8798) / 1
LCM(8791,8798) = 77343218 / 1
LCM(8791,8798) = 77343218

Properties of LCM 8791 and 8798

(i) The LCM of 8798 and 8791 is associative

LCM of 8791 and 8798 = LCM of 8798 and 8791

Related Least Common Multiples of 8791

Related Least Common Multiples of 8798

Frequently Asked Questions on LCM of 8791 and 8798

1. What is the LCM of 8791 and 8798?

Answer: LCM of 8791 and 8798 is 77343218.

2. What are the Factors of 8791?

Answer: Factors of 8791 are 1, 59, 149, 8791. There are 4 integers that are factors of 8791. The greatest factor of 8791 is 8791.

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 8791 and 8798?

Answer:

Least Common Multiple of 8791 and 8798 = 77343218

Step 1: Find the prime factorization of 8791

8791 = 59 x 149

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 = 77343218 = 2 x 53 x 59 x 83 x 149

Step 4: Therefore, the least common multiple of 8791 and 8798 is 77343218.