Least Common Multiple of 8261 and 8268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8261 and 8268 the smallest integer that is 68301948 that is divisible by both numbers.

Least Common Multiple (LCM) of 8261 and 8268 is 68301948.

LCM(8261,8268) = 68301948

LCM of 8261 and 8268

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

LCM of:
and

Least Common Multiple of 8261 and 8268

LCM of 8261 and 8268 is 68301948

Least common multiple can be found by multiplying the highest exponent prime factors of 8261 and 8268. First we will calculate the prime factors of 8261 and 8268.

Prime Factorization of 8261


11 8261
751 751
1

Prime factors of 8261 are 11,751. Prime factorization of 8261 in exponential form is:

8261 = 111×7511

Prime Factorization of 8268


2 8268
2 4134
3 2067
13 689
53 53
1

Prime factors of 8268 are 2, 3, 13,53. Prime factorization of 8268 in exponential form is:

8268 = 22×31×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8261 and 8268.

LCM(8261,8268) = 22×31×111×131×531×7511
LCM(8261,8268) = 68301948

Factors of 8261

List of positive integer factors of 8261 that divides 8261 without a remainder.

1, 11, 751, 8261

Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268

Least Common Multiple of 8261 and 8268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8261 and 8268, than apply into the LCM equation.

GCF(8261,8268) = 1
LCM(8261,8268) = ( 8261 × 8268) / 1
LCM(8261,8268) = 68301948 / 1
LCM(8261,8268) = 68301948

Properties of LCM 8261 and 8268

(i) The LCM of 8268 and 8261 is associative

LCM of 8261 and 8268 = LCM of 8268 and 8261

Related Least Common Multiples of 8261

Related Least Common Multiples of 8268

Frequently Asked Questions on LCM of 8261 and 8268

1. What is the LCM of 8261 and 8268?

Answer: LCM of 8261 and 8268 is 68301948.

2. What are the Factors of 8261?

Answer: Factors of 8261 are 1, 11, 751, 8261. There are 4 integers that are factors of 8261. The greatest factor of 8261 is 8261.

3. What are the Factors of 8268?

Answer: Factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268. There are 24 integers that are factors of 8268. The greatest factor of 8268 is 8268.

4. How to Find the LCM of 8261 and 8268?

Answer:

Least Common Multiple of 8261 and 8268 = 68301948

Step 1: Find the prime factorization of 8261

8261 = 11 x 751

Step 2: Find the prime factorization of 8268

8268 = 2 x 2 x 3 x 13 x 53

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

LCM = 68301948 = 2 x 2 x 3 x 11 x 13 x 53 x 751

Step 4: Therefore, the least common multiple of 8261 and 8268 is 68301948.