Least Common Multiple of 8275 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 8275 and 8280 the smallest integer that is 13703400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8275 and 8280 is 13703400.

LCM(8275,8280) = 13703400

LCM of 8275 and 8280

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

LCM of:
and

Least Common Multiple of 8275 and 8280

LCM of 8275 and 8280 is 13703400

Least common multiple can be found by multiplying the highest exponent prime factors of 8275 and 8280. First we will calculate the prime factors of 8275 and 8280.

Prime Factorization of 8275


5 8275
5 1655
331 331
1

Prime factors of 8275 are 5,331. Prime factorization of 8275 in exponential form is:

8275 = 52×3311

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 8275 and 8280.

LCM(8275,8280) = 23×32×52×231×3311
LCM(8275,8280) = 13703400

Factors of 8275

List of positive integer factors of 8275 that divides 8275 without a remainder.

1, 5, 25, 331, 1655, 8275

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 8275 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 8275 and 8280, than apply into the LCM equation.

GCF(8275,8280) = 5
LCM(8275,8280) = ( 8275 × 8280) / 5
LCM(8275,8280) = 68517000 / 5
LCM(8275,8280) = 13703400

Properties of LCM 8275 and 8280

(i) The LCM of 8280 and 8275 is associative

LCM of 8275 and 8280 = LCM of 8280 and 8275

Related Least Common Multiples of 8275

Related Least Common Multiples of 8280

Frequently Asked Questions on LCM of 8275 and 8280

1. What is the LCM of 8275 and 8280?

Answer: LCM of 8275 and 8280 is 13703400.

2. What are the Factors of 8275?

Answer: Factors of 8275 are 1, 5, 25, 331, 1655, 8275. There are 6 integers that are factors of 8275. The greatest factor of 8275 is 8275.

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 8275 and 8280?

Answer:

Least Common Multiple of 8275 and 8280 = 13703400

Step 1: Find the prime factorization of 8275

8275 = 5 x 5 x 331

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 = 13703400 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 23 x 331

Step 4: Therefore, the least common multiple of 8275 and 8280 is 13703400.