Least Common Multiple of 1273 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 1273 and 1280 the smallest integer that is 1629440 that is divisible by both numbers.

Least Common Multiple (LCM) of 1273 and 1280 is 1629440.

LCM(1273,1280) = 1629440

LCM of 1273 and 1280

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

LCM of:
and

Least Common Multiple of 1273 and 1280

LCM of 1273 and 1280 is 1629440

Least common multiple can be found by multiplying the highest exponent prime factors of 1273 and 1280. First we will calculate the prime factors of 1273 and 1280.

Prime Factorization of 1273


19 1273
67 67
1

Prime factors of 1273 are 19,67. Prime factorization of 1273 in exponential form is:

1273 = 191×671

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 1273 and 1280.

LCM(1273,1280) = 28×51×191×671
LCM(1273,1280) = 1629440

Factors of 1273

List of positive integer factors of 1273 that divides 1273 without a remainder.

1, 19, 67, 1273

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 1273 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 1273 and 1280, than apply into the LCM equation.

GCF(1273,1280) = 1
LCM(1273,1280) = ( 1273 × 1280) / 1
LCM(1273,1280) = 1629440 / 1
LCM(1273,1280) = 1629440

Properties of LCM 1273 and 1280

(i) The LCM of 1280 and 1273 is associative

LCM of 1273 and 1280 = LCM of 1280 and 1273

Related Least Common Multiples of 1273

Related Least Common Multiples of 1280

Frequently Asked Questions on LCM of 1273 and 1280

1. What is the LCM of 1273 and 1280?

Answer: LCM of 1273 and 1280 is 1629440.

2. What are the Factors of 1273?

Answer: Factors of 1273 are 1, 19, 67, 1273. There are 4 integers that are factors of 1273. The greatest factor of 1273 is 1273.

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 1273 and 1280?

Answer:

Least Common Multiple of 1273 and 1280 = 1629440

Step 1: Find the prime factorization of 1273

1273 = 19 x 67

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 = 1629440 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 67

Step 4: Therefore, the least common multiple of 1273 and 1280 is 1629440.