Least Common Multiple of 8793 and 8801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8793 and 8801 the smallest integer that is 77387193 that is divisible by both numbers.

Least Common Multiple (LCM) of 8793 and 8801 is 77387193.

LCM(8793,8801) = 77387193

LCM of 8793 and 8801

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

LCM of:
and

Least Common Multiple of 8793 and 8801

LCM of 8793 and 8801 is 77387193

Least common multiple can be found by multiplying the highest exponent prime factors of 8793 and 8801. First we will calculate the prime factors of 8793 and 8801.

Prime Factorization of 8793


3 8793
3 2931
977 977
1

Prime factors of 8793 are 3,977. Prime factorization of 8793 in exponential form is:

8793 = 32×9771

Prime Factorization of 8801


13 8801
677 677
1

Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:

8801 = 131×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 8793 and 8801.

LCM(8793,8801) = 32×131×6771×9771
LCM(8793,8801) = 77387193

Factors of 8793

List of positive integer factors of 8793 that divides 8793 without a remainder.

1, 3, 9, 977, 2931, 8793

Factors of 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1, 13, 677, 8801

Least Common Multiple of 8793 and 8801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8793 and 8801, than apply into the LCM equation.

GCF(8793,8801) = 1
LCM(8793,8801) = ( 8793 × 8801) / 1
LCM(8793,8801) = 77387193 / 1
LCM(8793,8801) = 77387193

Properties of LCM 8793 and 8801

(i) The LCM of 8801 and 8793 is associative

LCM of 8793 and 8801 = LCM of 8801 and 8793

Related Least Common Multiples of 8793

Related Least Common Multiples of 8801

Frequently Asked Questions on LCM of 8793 and 8801

1. What is the LCM of 8793 and 8801?

Answer: LCM of 8793 and 8801 is 77387193.

2. What are the Factors of 8793?

Answer: Factors of 8793 are 1, 3, 9, 977, 2931, 8793. There are 6 integers that are factors of 8793. The greatest factor of 8793 is 8793.

3. What are the Factors of 8801?

Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.

4. How to Find the LCM of 8793 and 8801?

Answer:

Least Common Multiple of 8793 and 8801 = 77387193

Step 1: Find the prime factorization of 8793

8793 = 3 x 3 x 977

Step 2: Find the prime factorization of 8801

8801 = 13 x 677

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

LCM = 77387193 = 3 x 3 x 13 x 677 x 977

Step 4: Therefore, the least common multiple of 8793 and 8801 is 77387193.