Least Common Multiple of 10280 and 10288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10280 and 10288 the smallest integer that is 13220080 that is divisible by both numbers.

Least Common Multiple (LCM) of 10280 and 10288 is 13220080.

LCM(10280,10288) = 13220080

LCM of 10280 and 10288

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

LCM of:
and

Least Common Multiple of 10280 and 10288

LCM of 10280 and 10288 is 13220080

Least common multiple can be found by multiplying the highest exponent prime factors of 10280 and 10288. First we will calculate the prime factors of 10280 and 10288.

Prime Factorization of 10280


2 10280
2 5140
2 2570
5 1285
257 257
1

Prime factors of 10280 are 2, 5,257. Prime factorization of 10280 in exponential form is:

10280 = 23×51×2571

Prime Factorization of 10288


2 10288
2 5144
2 2572
2 1286
643 643
1

Prime factors of 10288 are 2,643. Prime factorization of 10288 in exponential form is:

10288 = 24×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 10280 and 10288.

LCM(10280,10288) = 24×51×2571×6431
LCM(10280,10288) = 13220080

Factors of 10280

List of positive integer factors of 10280 that divides 10280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 257, 514, 1028, 1285, 2056, 2570, 5140, 10280

Factors of 10288

List of positive integer factors of 10288 that divides 10288 without a remainder.

1, 2, 4, 8, 16, 643, 1286, 2572, 5144, 10288

Least Common Multiple of 10280 and 10288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10280 and 10288, than apply into the LCM equation.

GCF(10280,10288) = 8
LCM(10280,10288) = ( 10280 × 10288) / 8
LCM(10280,10288) = 105760640 / 8
LCM(10280,10288) = 13220080

Properties of LCM 10280 and 10288

(i) The LCM of 10288 and 10280 is associative

LCM of 10280 and 10288 = LCM of 10288 and 10280

Related Least Common Multiples of 10280

Related Least Common Multiples of 10288

Frequently Asked Questions on LCM of 10280 and 10288

1. What is the LCM of 10280 and 10288?

Answer: LCM of 10280 and 10288 is 13220080.

2. What are the Factors of 10280?

Answer: Factors of 10280 are 1, 2, 4, 5, 8, 10, 20, 40, 257, 514, 1028, 1285, 2056, 2570, 5140, 10280. There are 16 integers that are factors of 10280. The greatest factor of 10280 is 10280.

3. What are the Factors of 10288?

Answer: Factors of 10288 are 1, 2, 4, 8, 16, 643, 1286, 2572, 5144, 10288. There are 10 integers that are factors of 10288. The greatest factor of 10288 is 10288.

4. How to Find the LCM of 10280 and 10288?

Answer:

Least Common Multiple of 10280 and 10288 = 13220080

Step 1: Find the prime factorization of 10280

10280 = 2 x 2 x 2 x 5 x 257

Step 2: Find the prime factorization of 10288

10288 = 2 x 2 x 2 x 2 x 643

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

LCM = 13220080 = 2 x 2 x 2 x 2 x 5 x 257 x 643

Step 4: Therefore, the least common multiple of 10280 and 10288 is 13220080.