Least Common Multiple of 1264 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 1264 and 1269 the smallest integer that is 1604016 that is divisible by both numbers.

Least Common Multiple (LCM) of 1264 and 1269 is 1604016.

LCM(1264,1269) = 1604016

LCM of 1264 and 1269

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

LCM of:
and

Least Common Multiple of 1264 and 1269

LCM of 1264 and 1269 is 1604016

Least common multiple can be found by multiplying the highest exponent prime factors of 1264 and 1269. First we will calculate the prime factors of 1264 and 1269.

Prime Factorization of 1264


2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 1264 are 2,79. Prime factorization of 1264 in exponential form is:

1264 = 24×791

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 1264 and 1269.

LCM(1264,1269) = 24×33×471×791
LCM(1264,1269) = 1604016

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1, 2, 4, 8, 16, 79, 158, 316, 632, 1264

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 1264 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 1264 and 1269, than apply into the LCM equation.

GCF(1264,1269) = 1
LCM(1264,1269) = ( 1264 × 1269) / 1
LCM(1264,1269) = 1604016 / 1
LCM(1264,1269) = 1604016

Properties of LCM 1264 and 1269

(i) The LCM of 1269 and 1264 is associative

LCM of 1264 and 1269 = LCM of 1269 and 1264

Related Least Common Multiples of 1264

Related Least Common Multiples of 1269

Frequently Asked Questions on LCM of 1264 and 1269

1. What is the LCM of 1264 and 1269?

Answer: LCM of 1264 and 1269 is 1604016.

2. What are the Factors of 1264?

Answer: Factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264. There are 10 integers that are factors of 1264. The greatest factor of 1264 is 1264.

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 1264 and 1269?

Answer:

Least Common Multiple of 1264 and 1269 = 1604016

Step 1: Find the prime factorization of 1264

1264 = 2 x 2 x 2 x 2 x 79

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 = 1604016 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 x 79

Step 4: Therefore, the least common multiple of 1264 and 1269 is 1604016.