Least Common Multiple of 8291 and 8295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8291 and 8295 the smallest integer that is 68773845 that is divisible by both numbers.

Least Common Multiple (LCM) of 8291 and 8295 is 68773845.

LCM(8291,8295) = 68773845

LCM of 8291 and 8295

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

LCM of:
and

Least Common Multiple of 8291 and 8295

LCM of 8291 and 8295 is 68773845

Least common multiple can be found by multiplying the highest exponent prime factors of 8291 and 8295. First we will calculate the prime factors of 8291 and 8295.

Prime Factorization of 8291


8291 8291
1

Prime factors of 8291 are 8291. Prime factorization of 8291 in exponential form is:

8291 = 82911

Prime Factorization of 8295


3 8295
5 2765
7 553
79 79
1

Prime factors of 8295 are 3, 5, 7,79. Prime factorization of 8295 in exponential form is:

8295 = 31×51×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8291 and 8295.

LCM(8291,8295) = 31×51×71×791×82911
LCM(8291,8295) = 68773845

Factors of 8291

List of positive integer factors of 8291 that divides 8291 without a remainder.

1, 8291

Factors of 8295

List of positive integer factors of 8295 that divides 8295 without a remainder.

1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295

Least Common Multiple of 8291 and 8295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8291 and 8295, than apply into the LCM equation.

GCF(8291,8295) = 1
LCM(8291,8295) = ( 8291 × 8295) / 1
LCM(8291,8295) = 68773845 / 1
LCM(8291,8295) = 68773845

Properties of LCM 8291 and 8295

(i) The LCM of 8295 and 8291 is associative

LCM of 8291 and 8295 = LCM of 8295 and 8291

Related Least Common Multiples of 8291

Related Least Common Multiples of 8295

Frequently Asked Questions on LCM of 8291 and 8295

1. What is the LCM of 8291 and 8295?

Answer: LCM of 8291 and 8295 is 68773845.

2. What are the Factors of 8291?

Answer: Factors of 8291 are 1, 8291. There are 2 integers that are factors of 8291. The greatest factor of 8291 is 8291.

3. What are the Factors of 8295?

Answer: Factors of 8295 are 1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295. There are 16 integers that are factors of 8295. The greatest factor of 8295 is 8295.

4. How to Find the LCM of 8291 and 8295?

Answer:

Least Common Multiple of 8291 and 8295 = 68773845

Step 1: Find the prime factorization of 8291

8291 = 8291

Step 2: Find the prime factorization of 8295

8295 = 3 x 5 x 7 x 79

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

LCM = 68773845 = 3 x 5 x 7 x 79 x 8291

Step 4: Therefore, the least common multiple of 8291 and 8295 is 68773845.