Least Common Multiple of 8305 and 8311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8305 and 8311 the smallest integer that is 69022855 that is divisible by both numbers.

Least Common Multiple (LCM) of 8305 and 8311 is 69022855.

LCM(8305,8311) = 69022855

LCM of 8305 and 8311

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

LCM of:
and

Least Common Multiple of 8305 and 8311

LCM of 8305 and 8311 is 69022855

Least common multiple can be found by multiplying the highest exponent prime factors of 8305 and 8311. First we will calculate the prime factors of 8305 and 8311.

Prime Factorization of 8305


5 8305
11 1661
151 151
1

Prime factors of 8305 are 5, 11,151. Prime factorization of 8305 in exponential form is:

8305 = 51×111×1511

Prime Factorization of 8311


8311 8311
1

Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:

8311 = 83111

Now multiplying the highest exponent prime factors to calculate the LCM of 8305 and 8311.

LCM(8305,8311) = 51×111×1511×83111
LCM(8305,8311) = 69022855

Factors of 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1, 5, 11, 55, 151, 755, 1661, 8305

Factors of 8311

List of positive integer factors of 8311 that divides 8311 without a remainder.

1, 8311

Least Common Multiple of 8305 and 8311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8305 and 8311, than apply into the LCM equation.

GCF(8305,8311) = 1
LCM(8305,8311) = ( 8305 × 8311) / 1
LCM(8305,8311) = 69022855 / 1
LCM(8305,8311) = 69022855

Properties of LCM 8305 and 8311

(i) The LCM of 8311 and 8305 is associative

LCM of 8305 and 8311 = LCM of 8311 and 8305

Related Least Common Multiples of 8305

Related Least Common Multiples of 8311

Frequently Asked Questions on LCM of 8305 and 8311

1. What is the LCM of 8305 and 8311?

Answer: LCM of 8305 and 8311 is 69022855.

2. What are the Factors of 8305?

Answer: Factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305. There are 8 integers that are factors of 8305. The greatest factor of 8305 is 8305.

3. What are the Factors of 8311?

Answer: Factors of 8311 are 1, 8311. There are 2 integers that are factors of 8311. The greatest factor of 8311 is 8311.

4. How to Find the LCM of 8305 and 8311?

Answer:

Least Common Multiple of 8305 and 8311 = 69022855

Step 1: Find the prime factorization of 8305

8305 = 5 x 11 x 151

Step 2: Find the prime factorization of 8311

8311 = 8311

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

LCM = 69022855 = 5 x 11 x 151 x 8311

Step 4: Therefore, the least common multiple of 8305 and 8311 is 69022855.