Least Common Multiple of 286 and 294

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 294 the smallest integer that is 42042 that is divisible by both numbers.

Least Common Multiple (LCM) of 286 and 294 is 42042.

LCM(286,294) = 42042

LCM of 286 and 294

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

LCM of:
and

Least Common Multiple of 286 and 294

LCM of 286 and 294 is 42042

Least common multiple can be found by multiplying the highest exponent prime factors of 286 and 294. First we will calculate the prime factors of 286 and 294.

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 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 286 and 294.

LCM(286,294) = 21×31×72×111×131
LCM(286,294) = 42042

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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Least Common Multiple of 286 and 294 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 294, than apply into the LCM equation.

GCF(286,294) = 2
LCM(286,294) = ( 286 × 294) / 2
LCM(286,294) = 84084 / 2
LCM(286,294) = 42042

Properties of LCM 286 and 294

(i) The LCM of 294 and 286 is associative

LCM of 286 and 294 = LCM of 294 and 286

Related Least Common Multiples of 286

Related Least Common Multiples of 294

Frequently Asked Questions on LCM of 286 and 294

1. What is the LCM of 286 and 294?

Answer: LCM of 286 and 294 is 42042.

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 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

4. How to Find the LCM of 286 and 294?

Answer:

Least Common Multiple of 286 and 294 = 42042

Step 1: Find the prime factorization of 286

286 = 2 x 11 x 13

Step 2: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

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

LCM = 42042 = 2 x 3 x 7 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 286 and 294 is 42042.