Least Common Multiple of 1275 and 1280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1275 and 1280 the smallest integer that is 326400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1275 and 1280 is 326400.

LCM(1275,1280) = 326400

LCM of 1275 and 1280

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

LCM of:
and

Least Common Multiple of 1275 and 1280

LCM of 1275 and 1280 is 326400

Least common multiple can be found by multiplying the highest exponent prime factors of 1275 and 1280. First we will calculate the prime factors of 1275 and 1280.

Prime Factorization of 1275


3 1275
5 425
5 85
17 17
1

Prime factors of 1275 are 3, 5,17. Prime factorization of 1275 in exponential form is:

1275 = 31×52×171

Prime Factorization of 1280


2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 1280 are 2,5. Prime factorization of 1280 in exponential form is:

1280 = 28×51

Now multiplying the highest exponent prime factors to calculate the LCM of 1275 and 1280.

LCM(1275,1280) = 28×31×52×171
LCM(1275,1280) = 326400

Factors of 1275

List of positive integer factors of 1275 that divides 1275 without a remainder.

1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275

Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280

Least Common Multiple of 1275 and 1280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1275 and 1280, than apply into the LCM equation.

GCF(1275,1280) = 5
LCM(1275,1280) = ( 1275 × 1280) / 5
LCM(1275,1280) = 1632000 / 5
LCM(1275,1280) = 326400

Properties of LCM 1275 and 1280

(i) The LCM of 1280 and 1275 is associative

LCM of 1275 and 1280 = LCM of 1280 and 1275

Related Least Common Multiples of 1275

Related Least Common Multiples of 1280

Frequently Asked Questions on LCM of 1275 and 1280

1. What is the LCM of 1275 and 1280?

Answer: LCM of 1275 and 1280 is 326400.

2. What are the Factors of 1275?

Answer: Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275. There are 12 integers that are factors of 1275. The greatest factor of 1275 is 1275.

3. What are the Factors of 1280?

Answer: Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280. There are 18 integers that are factors of 1280. The greatest factor of 1280 is 1280.

4. How to Find the LCM of 1275 and 1280?

Answer:

Least Common Multiple of 1275 and 1280 = 326400

Step 1: Find the prime factorization of 1275

1275 = 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 1280

1280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 326400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17

Step 4: Therefore, the least common multiple of 1275 and 1280 is 326400.