Least Common Multiple of 8305 and 8309

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 8309 the smallest integer that is 69006245 that is divisible by both numbers.

Least Common Multiple (LCM) of 8305 and 8309 is 69006245.

LCM(8305,8309) = 69006245

LCM of 8305 and 8309

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

LCM of:
and

Least Common Multiple of 8305 and 8309

LCM of 8305 and 8309 is 69006245

Least common multiple can be found by multiplying the highest exponent prime factors of 8305 and 8309. First we will calculate the prime factors of 8305 and 8309.

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 8309


7 8309
1187 1187
1

Prime factors of 8309 are 7,1187. Prime factorization of 8309 in exponential form is:

8309 = 71×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 8305 and 8309.

LCM(8305,8309) = 51×71×111×1511×11871
LCM(8305,8309) = 69006245

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 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1, 7, 1187, 8309

Least Common Multiple of 8305 and 8309 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 8309, than apply into the LCM equation.

GCF(8305,8309) = 1
LCM(8305,8309) = ( 8305 × 8309) / 1
LCM(8305,8309) = 69006245 / 1
LCM(8305,8309) = 69006245

Properties of LCM 8305 and 8309

(i) The LCM of 8309 and 8305 is associative

LCM of 8305 and 8309 = LCM of 8309 and 8305

Related Least Common Multiples of 8305

Related Least Common Multiples of 8309

Frequently Asked Questions on LCM of 8305 and 8309

1. What is the LCM of 8305 and 8309?

Answer: LCM of 8305 and 8309 is 69006245.

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 8309?

Answer: Factors of 8309 are 1, 7, 1187, 8309. There are 4 integers that are factors of 8309. The greatest factor of 8309 is 8309.

4. How to Find the LCM of 8305 and 8309?

Answer:

Least Common Multiple of 8305 and 8309 = 69006245

Step 1: Find the prime factorization of 8305

8305 = 5 x 11 x 151

Step 2: Find the prime factorization of 8309

8309 = 7 x 1187

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

LCM = 69006245 = 5 x 7 x 11 x 151 x 1187

Step 4: Therefore, the least common multiple of 8305 and 8309 is 69006245.