Least Common Multiple of 8791 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 8791 and 8795 the smallest integer that is 77316845 that is divisible by both numbers.

Least Common Multiple (LCM) of 8791 and 8795 is 77316845.

LCM(8791,8795) = 77316845

LCM of 8791 and 8795

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

LCM of:
and

Least Common Multiple of 8791 and 8795

LCM of 8791 and 8795 is 77316845

Least common multiple can be found by multiplying the highest exponent prime factors of 8791 and 8795. First we will calculate the prime factors of 8791 and 8795.

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 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 8791 and 8795.

LCM(8791,8795) = 51×591×1491×17591
LCM(8791,8795) = 77316845

Factors of 8791

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

1, 59, 149, 8791

Factors of 8795

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

1, 5, 1759, 8795

Least Common Multiple of 8791 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 8791 and 8795, than apply into the LCM equation.

GCF(8791,8795) = 1
LCM(8791,8795) = ( 8791 × 8795) / 1
LCM(8791,8795) = 77316845 / 1
LCM(8791,8795) = 77316845

Properties of LCM 8791 and 8795

(i) The LCM of 8795 and 8791 is associative

LCM of 8791 and 8795 = LCM of 8795 and 8791

Related Least Common Multiples of 8791

Related Least Common Multiples of 8795

Frequently Asked Questions on LCM of 8791 and 8795

1. What is the LCM of 8791 and 8795?

Answer: LCM of 8791 and 8795 is 77316845.

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 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 8791 and 8795?

Answer:

Least Common Multiple of 8791 and 8795 = 77316845

Step 1: Find the prime factorization of 8791

8791 = 59 x 149

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 = 77316845 = 5 x 59 x 149 x 1759

Step 4: Therefore, the least common multiple of 8791 and 8795 is 77316845.