Least Common Multiple of 8267 and 8273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8267 and 8273 the smallest integer that is 68392891 that is divisible by both numbers.

Least Common Multiple (LCM) of 8267 and 8273 is 68392891.

LCM(8267,8273) = 68392891

LCM of 8267 and 8273

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

LCM of:
and

Least Common Multiple of 8267 and 8273

LCM of 8267 and 8273 is 68392891

Least common multiple can be found by multiplying the highest exponent prime factors of 8267 and 8273. First we will calculate the prime factors of 8267 and 8273.

Prime Factorization of 8267


7 8267
1181 1181
1

Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:

8267 = 71×11811

Prime Factorization of 8273


8273 8273
1

Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:

8273 = 82731

Now multiplying the highest exponent prime factors to calculate the LCM of 8267 and 8273.

LCM(8267,8273) = 71×11811×82731
LCM(8267,8273) = 68392891

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1, 7, 1181, 8267

Factors of 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1, 8273

Least Common Multiple of 8267 and 8273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8267 and 8273, than apply into the LCM equation.

GCF(8267,8273) = 1
LCM(8267,8273) = ( 8267 × 8273) / 1
LCM(8267,8273) = 68392891 / 1
LCM(8267,8273) = 68392891

Properties of LCM 8267 and 8273

(i) The LCM of 8273 and 8267 is associative

LCM of 8267 and 8273 = LCM of 8273 and 8267

Related Least Common Multiples of 8267

Related Least Common Multiples of 8273

Frequently Asked Questions on LCM of 8267 and 8273

1. What is the LCM of 8267 and 8273?

Answer: LCM of 8267 and 8273 is 68392891.

2. What are the Factors of 8267?

Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.

3. What are the Factors of 8273?

Answer: Factors of 8273 are 1, 8273. There are 2 integers that are factors of 8273. The greatest factor of 8273 is 8273.

4. How to Find the LCM of 8267 and 8273?

Answer:

Least Common Multiple of 8267 and 8273 = 68392891

Step 1: Find the prime factorization of 8267

8267 = 7 x 1181

Step 2: Find the prime factorization of 8273

8273 = 8273

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

LCM = 68392891 = 7 x 1181 x 8273

Step 4: Therefore, the least common multiple of 8267 and 8273 is 68392891.