Least Common Multiple of 8260 and 8267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8260 and 8267 the smallest integer that is 9755060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8260 and 8267 is 9755060.

LCM(8260,8267) = 9755060

LCM of 8260 and 8267

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

LCM of:
and

Least Common Multiple of 8260 and 8267

LCM of 8260 and 8267 is 9755060

Least common multiple can be found by multiplying the highest exponent prime factors of 8260 and 8267. First we will calculate the prime factors of 8260 and 8267.

Prime Factorization of 8260


2 8260
2 4130
5 2065
7 413
59 59
1

Prime factors of 8260 are 2, 5, 7,59. Prime factorization of 8260 in exponential form is:

8260 = 22×51×71×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8260 and 8267.

LCM(8260,8267) = 22×51×71×591×11811
LCM(8260,8267) = 9755060

Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260

Factors of 8267

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

1, 7, 1181, 8267

Least Common Multiple of 8260 and 8267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8260 and 8267, than apply into the LCM equation.

GCF(8260,8267) = 7
LCM(8260,8267) = ( 8260 × 8267) / 7
LCM(8260,8267) = 68285420 / 7
LCM(8260,8267) = 9755060

Properties of LCM 8260 and 8267

(i) The LCM of 8267 and 8260 is associative

LCM of 8260 and 8267 = LCM of 8267 and 8260

Related Least Common Multiples of 8260

Related Least Common Multiples of 8267

Frequently Asked Questions on LCM of 8260 and 8267

1. What is the LCM of 8260 and 8267?

Answer: LCM of 8260 and 8267 is 9755060.

2. What are the Factors of 8260?

Answer: Factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260. There are 24 integers that are factors of 8260. The greatest factor of 8260 is 8260.

3. 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.

4. How to Find the LCM of 8260 and 8267?

Answer:

Least Common Multiple of 8260 and 8267 = 9755060

Step 1: Find the prime factorization of 8260

8260 = 2 x 2 x 5 x 7 x 59

Step 2: Find the prime factorization of 8267

8267 = 7 x 1181

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

LCM = 9755060 = 2 x 2 x 5 x 7 x 59 x 1181

Step 4: Therefore, the least common multiple of 8260 and 8267 is 9755060.