Least Common Multiple of 8276 and 8281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8276 and 8281 the smallest integer that is 68533556 that is divisible by both numbers.

Least Common Multiple (LCM) of 8276 and 8281 is 68533556.

LCM(8276,8281) = 68533556

LCM of 8276 and 8281

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

LCM of:
and

Least Common Multiple of 8276 and 8281

LCM of 8276 and 8281 is 68533556

Least common multiple can be found by multiplying the highest exponent prime factors of 8276 and 8281. First we will calculate the prime factors of 8276 and 8281.

Prime Factorization of 8276


2 8276
2 4138
2069 2069
1

Prime factors of 8276 are 2,2069. Prime factorization of 8276 in exponential form is:

8276 = 22×20691

Prime Factorization of 8281


7 8281
7 1183
13 169
13 13
1

Prime factors of 8281 are 7,13. Prime factorization of 8281 in exponential form is:

8281 = 72×132

Now multiplying the highest exponent prime factors to calculate the LCM of 8276 and 8281.

LCM(8276,8281) = 22×72×132×20691
LCM(8276,8281) = 68533556

Factors of 8276

List of positive integer factors of 8276 that divides 8276 without a remainder.

1, 2, 4, 2069, 4138, 8276

Factors of 8281

List of positive integer factors of 8281 that divides 8281 without a remainder.

1, 7, 13, 49, 91, 169, 637, 1183, 8281

Least Common Multiple of 8276 and 8281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8276 and 8281, than apply into the LCM equation.

GCF(8276,8281) = 1
LCM(8276,8281) = ( 8276 × 8281) / 1
LCM(8276,8281) = 68533556 / 1
LCM(8276,8281) = 68533556

Properties of LCM 8276 and 8281

(i) The LCM of 8281 and 8276 is associative

LCM of 8276 and 8281 = LCM of 8281 and 8276

Related Least Common Multiples of 8276

Related Least Common Multiples of 8281

Frequently Asked Questions on LCM of 8276 and 8281

1. What is the LCM of 8276 and 8281?

Answer: LCM of 8276 and 8281 is 68533556.

2. What are the Factors of 8276?

Answer: Factors of 8276 are 1, 2, 4, 2069, 4138, 8276. There are 6 integers that are factors of 8276. The greatest factor of 8276 is 8276.

3. What are the Factors of 8281?

Answer: Factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281. There are 9 integers that are factors of 8281. The greatest factor of 8281 is 8281.

4. How to Find the LCM of 8276 and 8281?

Answer:

Least Common Multiple of 8276 and 8281 = 68533556

Step 1: Find the prime factorization of 8276

8276 = 2 x 2 x 2069

Step 2: Find the prime factorization of 8281

8281 = 7 x 7 x 13 x 13

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

LCM = 68533556 = 2 x 2 x 7 x 7 x 13 x 13 x 2069

Step 4: Therefore, the least common multiple of 8276 and 8281 is 68533556.