Least Common Multiple of 1275 and 1281

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 1281 the smallest integer that is 544425 that is divisible by both numbers.

Least Common Multiple (LCM) of 1275 and 1281 is 544425.

LCM(1275,1281) = 544425

LCM of 1275 and 1281

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

LCM of:
and

Least Common Multiple of 1275 and 1281

LCM of 1275 and 1281 is 544425

Least common multiple can be found by multiplying the highest exponent prime factors of 1275 and 1281. First we will calculate the prime factors of 1275 and 1281.

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 1281


3 1281
7 427
61 61
1

Prime factors of 1281 are 3, 7,61. Prime factorization of 1281 in exponential form is:

1281 = 31×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1275 and 1281.

LCM(1275,1281) = 31×52×71×171×611
LCM(1275,1281) = 544425

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 1281

List of positive integer factors of 1281 that divides 1281 without a remainder.

1, 3, 7, 21, 61, 183, 427, 1281

Least Common Multiple of 1275 and 1281 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 1281, than apply into the LCM equation.

GCF(1275,1281) = 3
LCM(1275,1281) = ( 1275 × 1281) / 3
LCM(1275,1281) = 1633275 / 3
LCM(1275,1281) = 544425

Properties of LCM 1275 and 1281

(i) The LCM of 1281 and 1275 is associative

LCM of 1275 and 1281 = LCM of 1281 and 1275

Related Least Common Multiples of 1275

Related Least Common Multiples of 1281

Frequently Asked Questions on LCM of 1275 and 1281

1. What is the LCM of 1275 and 1281?

Answer: LCM of 1275 and 1281 is 544425.

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 1281?

Answer: Factors of 1281 are 1, 3, 7, 21, 61, 183, 427, 1281. There are 8 integers that are factors of 1281. The greatest factor of 1281 is 1281.

4. How to Find the LCM of 1275 and 1281?

Answer:

Least Common Multiple of 1275 and 1281 = 544425

Step 1: Find the prime factorization of 1275

1275 = 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 1281

1281 = 3 x 7 x 61

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

LCM = 544425 = 3 x 5 x 5 x 7 x 17 x 61

Step 4: Therefore, the least common multiple of 1275 and 1281 is 544425.