Least Common Multiple of 1263 and 1269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1263 and 1269 the smallest integer that is 534249 that is divisible by both numbers.

Least Common Multiple (LCM) of 1263 and 1269 is 534249.

LCM(1263,1269) = 534249

LCM of 1263 and 1269

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

LCM of:
and

Least Common Multiple of 1263 and 1269

LCM of 1263 and 1269 is 534249

Least common multiple can be found by multiplying the highest exponent prime factors of 1263 and 1269. First we will calculate the prime factors of 1263 and 1269.

Prime Factorization of 1263


3 1263
421 421
1

Prime factors of 1263 are 3,421. Prime factorization of 1263 in exponential form is:

1263 = 31×4211

Prime Factorization of 1269


3 1269
3 423
3 141
47 47
1

Prime factors of 1269 are 3,47. Prime factorization of 1269 in exponential form is:

1269 = 33×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1263 and 1269.

LCM(1263,1269) = 33×471×4211
LCM(1263,1269) = 534249

Factors of 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1, 3, 421, 1263

Factors of 1269

List of positive integer factors of 1269 that divides 1269 without a remainder.

1, 3, 9, 27, 47, 141, 423, 1269

Least Common Multiple of 1263 and 1269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1263 and 1269, than apply into the LCM equation.

GCF(1263,1269) = 3
LCM(1263,1269) = ( 1263 × 1269) / 3
LCM(1263,1269) = 1602747 / 3
LCM(1263,1269) = 534249

Properties of LCM 1263 and 1269

(i) The LCM of 1269 and 1263 is associative

LCM of 1263 and 1269 = LCM of 1269 and 1263

Related Least Common Multiples of 1263

Related Least Common Multiples of 1269

Frequently Asked Questions on LCM of 1263 and 1269

1. What is the LCM of 1263 and 1269?

Answer: LCM of 1263 and 1269 is 534249.

2. What are the Factors of 1263?

Answer: Factors of 1263 are 1, 3, 421, 1263. There are 4 integers that are factors of 1263. The greatest factor of 1263 is 1263.

3. What are the Factors of 1269?

Answer: Factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269. There are 8 integers that are factors of 1269. The greatest factor of 1269 is 1269.

4. How to Find the LCM of 1263 and 1269?

Answer:

Least Common Multiple of 1263 and 1269 = 534249

Step 1: Find the prime factorization of 1263

1263 = 3 x 421

Step 2: Find the prime factorization of 1269

1269 = 3 x 3 x 3 x 47

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

LCM = 534249 = 3 x 3 x 3 x 47 x 421

Step 4: Therefore, the least common multiple of 1263 and 1269 is 534249.