Least Common Multiple of 8795 and 8799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8795 and 8799 the smallest integer that is 77387205 that is divisible by both numbers.

Least Common Multiple (LCM) of 8795 and 8799 is 77387205.

LCM(8795,8799) = 77387205

LCM of 8795 and 8799

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

LCM of:
and

Least Common Multiple of 8795 and 8799

LCM of 8795 and 8799 is 77387205

Least common multiple can be found by multiplying the highest exponent prime factors of 8795 and 8799. First we will calculate the prime factors of 8795 and 8799.

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

Prime Factorization of 8799


3 8799
7 2933
419 419
1

Prime factors of 8799 are 3, 7,419. Prime factorization of 8799 in exponential form is:

8799 = 31×71×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 8795 and 8799.

LCM(8795,8799) = 31×51×71×4191×17591
LCM(8795,8799) = 77387205

Factors of 8795

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

1, 5, 1759, 8795

Factors of 8799

List of positive integer factors of 8799 that divides 8799 without a remainder.

1, 3, 7, 21, 419, 1257, 2933, 8799

Least Common Multiple of 8795 and 8799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8795 and 8799, than apply into the LCM equation.

GCF(8795,8799) = 1
LCM(8795,8799) = ( 8795 × 8799) / 1
LCM(8795,8799) = 77387205 / 1
LCM(8795,8799) = 77387205

Properties of LCM 8795 and 8799

(i) The LCM of 8799 and 8795 is associative

LCM of 8795 and 8799 = LCM of 8799 and 8795

Related Least Common Multiples of 8795

Related Least Common Multiples of 8799

Frequently Asked Questions on LCM of 8795 and 8799

1. What is the LCM of 8795 and 8799?

Answer: LCM of 8795 and 8799 is 77387205.

2. 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.

3. What are the Factors of 8799?

Answer: Factors of 8799 are 1, 3, 7, 21, 419, 1257, 2933, 8799. There are 8 integers that are factors of 8799. The greatest factor of 8799 is 8799.

4. How to Find the LCM of 8795 and 8799?

Answer:

Least Common Multiple of 8795 and 8799 = 77387205

Step 1: Find the prime factorization of 8795

8795 = 5 x 1759

Step 2: Find the prime factorization of 8799

8799 = 3 x 7 x 419

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

LCM = 77387205 = 3 x 5 x 7 x 419 x 1759

Step 4: Therefore, the least common multiple of 8795 and 8799 is 77387205.