Least Common Multiple of 8295 and 8301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8295 and 8301 the smallest integer that is 22952265 that is divisible by both numbers.

Least Common Multiple (LCM) of 8295 and 8301 is 22952265.

LCM(8295,8301) = 22952265

LCM of 8295 and 8301

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

LCM of:
and

Least Common Multiple of 8295 and 8301

LCM of 8295 and 8301 is 22952265

Least common multiple can be found by multiplying the highest exponent prime factors of 8295 and 8301. First we will calculate the prime factors of 8295 and 8301.

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

Prime Factorization of 8301


3 8301
2767 2767
1

Prime factors of 8301 are 3,2767. Prime factorization of 8301 in exponential form is:

8301 = 31×27671

Now multiplying the highest exponent prime factors to calculate the LCM of 8295 and 8301.

LCM(8295,8301) = 31×51×71×791×27671
LCM(8295,8301) = 22952265

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

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1, 3, 2767, 8301

Least Common Multiple of 8295 and 8301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8295 and 8301, than apply into the LCM equation.

GCF(8295,8301) = 3
LCM(8295,8301) = ( 8295 × 8301) / 3
LCM(8295,8301) = 68856795 / 3
LCM(8295,8301) = 22952265

Properties of LCM 8295 and 8301

(i) The LCM of 8301 and 8295 is associative

LCM of 8295 and 8301 = LCM of 8301 and 8295

Related Least Common Multiples of 8295

Related Least Common Multiples of 8301

Frequently Asked Questions on LCM of 8295 and 8301

1. What is the LCM of 8295 and 8301?

Answer: LCM of 8295 and 8301 is 22952265.

2. 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.

3. What are the Factors of 8301?

Answer: Factors of 8301 are 1, 3, 2767, 8301. There are 4 integers that are factors of 8301. The greatest factor of 8301 is 8301.

4. How to Find the LCM of 8295 and 8301?

Answer:

Least Common Multiple of 8295 and 8301 = 22952265

Step 1: Find the prime factorization of 8295

8295 = 3 x 5 x 7 x 79

Step 2: Find the prime factorization of 8301

8301 = 3 x 2767

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

LCM = 22952265 = 3 x 5 x 7 x 79 x 2767

Step 4: Therefore, the least common multiple of 8295 and 8301 is 22952265.