Least Common Multiple of 1290 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 1290 and 1292 the smallest integer that is 833340 that is divisible by both numbers.

Least Common Multiple (LCM) of 1290 and 1292 is 833340.

LCM(1290,1292) = 833340

LCM of 1290 and 1292

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

LCM of:
and

Least Common Multiple of 1290 and 1292

LCM of 1290 and 1292 is 833340

Least common multiple can be found by multiplying the highest exponent prime factors of 1290 and 1292. First we will calculate the prime factors of 1290 and 1292.

Prime Factorization of 1290


2 1290
3 645
5 215
43 43
1

Prime factors of 1290 are 2, 3, 5,43. Prime factorization of 1290 in exponential form is:

1290 = 21×31×51×431

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 1290 and 1292.

LCM(1290,1292) = 22×31×51×171×191×431
LCM(1290,1292) = 833340

Factors of 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290

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 1290 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 1290 and 1292, than apply into the LCM equation.

GCF(1290,1292) = 2
LCM(1290,1292) = ( 1290 × 1292) / 2
LCM(1290,1292) = 1666680 / 2
LCM(1290,1292) = 833340

Properties of LCM 1290 and 1292

(i) The LCM of 1292 and 1290 is associative

LCM of 1290 and 1292 = LCM of 1292 and 1290

Related Least Common Multiples of 1290

Related Least Common Multiples of 1292

Frequently Asked Questions on LCM of 1290 and 1292

1. What is the LCM of 1290 and 1292?

Answer: LCM of 1290 and 1292 is 833340.

2. What are the Factors of 1290?

Answer: Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. There are 16 integers that are factors of 1290. The greatest factor of 1290 is 1290.

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 1290 and 1292?

Answer:

Least Common Multiple of 1290 and 1292 = 833340

Step 1: Find the prime factorization of 1290

1290 = 2 x 3 x 5 x 43

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 = 833340 = 2 x 2 x 3 x 5 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 1290 and 1292 is 833340.