Least Common Multiple of 286 and 292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 286 and 292 the smallest integer that is 41756 that is divisible by both numbers.

Least Common Multiple (LCM) of 286 and 292 is 41756.

LCM(286,292) = 41756

LCM of 286 and 292

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

LCM of:
and

Least Common Multiple of 286 and 292

LCM of 286 and 292 is 41756

Least common multiple can be found by multiplying the highest exponent prime factors of 286 and 292. First we will calculate the prime factors of 286 and 292.

Prime Factorization of 286


2 286
11 143
13 13
1

Prime factors of 286 are 2, 11,13. Prime factorization of 286 in exponential form is:

286 = 21×111×131

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

Now multiplying the highest exponent prime factors to calculate the LCM of 286 and 292.

LCM(286,292) = 22×111×131×731
LCM(286,292) = 41756

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Least Common Multiple of 286 and 292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 286 and 292, than apply into the LCM equation.

GCF(286,292) = 2
LCM(286,292) = ( 286 × 292) / 2
LCM(286,292) = 83512 / 2
LCM(286,292) = 41756

Properties of LCM 286 and 292

(i) The LCM of 292 and 286 is associative

LCM of 286 and 292 = LCM of 292 and 286

Related Least Common Multiples of 286

Related Least Common Multiples of 292

Frequently Asked Questions on LCM of 286 and 292

1. What is the LCM of 286 and 292?

Answer: LCM of 286 and 292 is 41756.

2. What are the Factors of 286?

Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.

3. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

4. How to Find the LCM of 286 and 292?

Answer:

Least Common Multiple of 286 and 292 = 41756

Step 1: Find the prime factorization of 286

286 = 2 x 11 x 13

Step 2: Find the prime factorization of 292

292 = 2 x 2 x 73

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

LCM = 41756 = 2 x 2 x 11 x 13 x 73

Step 4: Therefore, the least common multiple of 286 and 292 is 41756.