Least Common Multiple of 1284 and 1292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1284 and 1292 the smallest integer that is 414732 that is divisible by both numbers.

Least Common Multiple (LCM) of 1284 and 1292 is 414732.

LCM(1284,1292) = 414732

LCM of 1284 and 1292

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

LCM of:
and

Least Common Multiple of 1284 and 1292

LCM of 1284 and 1292 is 414732

Least common multiple can be found by multiplying the highest exponent prime factors of 1284 and 1292. First we will calculate the prime factors of 1284 and 1292.

Prime Factorization of 1284


2 1284
2 642
3 321
107 107
1

Prime factors of 1284 are 2, 3,107. Prime factorization of 1284 in exponential form is:

1284 = 22×31×1071

Prime Factorization of 1292


2 1292
2 646
17 323
19 19
1

Prime factors of 1292 are 2, 17,19. Prime factorization of 1292 in exponential form is:

1292 = 22×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1284 and 1292.

LCM(1284,1292) = 22×31×171×191×1071
LCM(1284,1292) = 414732

Factors of 1284

List of positive integer factors of 1284 that divides 1284 without a remainder.

1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284

Factors of 1292

List of positive integer factors of 1292 that divides 1292 without a remainder.

1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292

Least Common Multiple of 1284 and 1292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1284 and 1292, than apply into the LCM equation.

GCF(1284,1292) = 4
LCM(1284,1292) = ( 1284 × 1292) / 4
LCM(1284,1292) = 1658928 / 4
LCM(1284,1292) = 414732

Properties of LCM 1284 and 1292

(i) The LCM of 1292 and 1284 is associative

LCM of 1284 and 1292 = LCM of 1292 and 1284

Related Least Common Multiples of 1284

Related Least Common Multiples of 1292

Frequently Asked Questions on LCM of 1284 and 1292

1. What is the LCM of 1284 and 1292?

Answer: LCM of 1284 and 1292 is 414732.

2. What are the Factors of 1284?

Answer: Factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284. There are 12 integers that are factors of 1284. The greatest factor of 1284 is 1284.

3. What are the Factors of 1292?

Answer: Factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292. There are 12 integers that are factors of 1292. The greatest factor of 1292 is 1292.

4. How to Find the LCM of 1284 and 1292?

Answer:

Least Common Multiple of 1284 and 1292 = 414732

Step 1: Find the prime factorization of 1284

1284 = 2 x 2 x 3 x 107

Step 2: Find the prime factorization of 1292

1292 = 2 x 2 x 17 x 19

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

LCM = 414732 = 2 x 2 x 3 x 17 x 19 x 107

Step 4: Therefore, the least common multiple of 1284 and 1292 is 414732.