Least Common Multiple of 8280 and 8287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8280 and 8287 the smallest integer that is 68616360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8280 and 8287 is 68616360.

LCM(8280,8287) = 68616360

LCM of 8280 and 8287

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

LCM of:
and

Least Common Multiple of 8280 and 8287

LCM of 8280 and 8287 is 68616360

Least common multiple can be found by multiplying the highest exponent prime factors of 8280 and 8287. First we will calculate the prime factors of 8280 and 8287.

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

Prime Factorization of 8287


8287 8287
1

Prime factors of 8287 are 8287. Prime factorization of 8287 in exponential form is:

8287 = 82871

Now multiplying the highest exponent prime factors to calculate the LCM of 8280 and 8287.

LCM(8280,8287) = 23×32×51×231×82871
LCM(8280,8287) = 68616360

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

Factors of 8287

List of positive integer factors of 8287 that divides 8287 without a remainder.

1, 8287

Least Common Multiple of 8280 and 8287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8280 and 8287, than apply into the LCM equation.

GCF(8280,8287) = 1
LCM(8280,8287) = ( 8280 × 8287) / 1
LCM(8280,8287) = 68616360 / 1
LCM(8280,8287) = 68616360

Properties of LCM 8280 and 8287

(i) The LCM of 8287 and 8280 is associative

LCM of 8280 and 8287 = LCM of 8287 and 8280

Related Least Common Multiples of 8280

Related Least Common Multiples of 8287

Frequently Asked Questions on LCM of 8280 and 8287

1. What is the LCM of 8280 and 8287?

Answer: LCM of 8280 and 8287 is 68616360.

2. 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.

3. What are the Factors of 8287?

Answer: Factors of 8287 are 1, 8287. There are 2 integers that are factors of 8287. The greatest factor of 8287 is 8287.

4. How to Find the LCM of 8280 and 8287?

Answer:

Least Common Multiple of 8280 and 8287 = 68616360

Step 1: Find the prime factorization of 8280

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

Step 2: Find the prime factorization of 8287

8287 = 8287

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

LCM = 68616360 = 2 x 2 x 2 x 3 x 3 x 5 x 23 x 8287

Step 4: Therefore, the least common multiple of 8280 and 8287 is 68616360.