Least Common Multiple of 8276 and 8280

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 8280 the smallest integer that is 17131320 that is divisible by both numbers.

Least Common Multiple (LCM) of 8276 and 8280 is 17131320.

LCM(8276,8280) = 17131320

LCM of 8276 and 8280

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

LCM of:
and

Least Common Multiple of 8276 and 8280

LCM of 8276 and 8280 is 17131320

Least common multiple can be found by multiplying the highest exponent prime factors of 8276 and 8280. First we will calculate the prime factors of 8276 and 8280.

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 8280


2 8280
2 4140
2 2070
3 1035
3 345
5 115
23 23
1

Prime factors of 8280 are 2, 3, 5,23. Prime factorization of 8280 in exponential form is:

8280 = 23×32×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8276 and 8280.

LCM(8276,8280) = 23×32×51×231×20691
LCM(8276,8280) = 17131320

Factors of 8276

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

1, 2, 4, 2069, 4138, 8276

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280

Least Common Multiple of 8276 and 8280 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 8280, than apply into the LCM equation.

GCF(8276,8280) = 4
LCM(8276,8280) = ( 8276 × 8280) / 4
LCM(8276,8280) = 68525280 / 4
LCM(8276,8280) = 17131320

Properties of LCM 8276 and 8280

(i) The LCM of 8280 and 8276 is associative

LCM of 8276 and 8280 = LCM of 8280 and 8276

Related Least Common Multiples of 8276

Related Least Common Multiples of 8280

Frequently Asked Questions on LCM of 8276 and 8280

1. What is the LCM of 8276 and 8280?

Answer: LCM of 8276 and 8280 is 17131320.

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 8280?

Answer: Factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280. There are 48 integers that are factors of 8280. The greatest factor of 8280 is 8280.

4. How to Find the LCM of 8276 and 8280?

Answer:

Least Common Multiple of 8276 and 8280 = 17131320

Step 1: Find the prime factorization of 8276

8276 = 2 x 2 x 2069

Step 2: Find the prime factorization of 8280

8280 = 2 x 2 x 2 x 3 x 3 x 5 x 23

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

LCM = 17131320 = 2 x 2 x 2 x 3 x 3 x 5 x 23 x 2069

Step 4: Therefore, the least common multiple of 8276 and 8280 is 17131320.