Least Common Multiple of 279 and 286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 279 and 286 the smallest integer that is 79794 that is divisible by both numbers.

Least Common Multiple (LCM) of 279 and 286 is 79794.

LCM(279,286) = 79794

LCM of 279 and 286

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

LCM of:
and

Least Common Multiple of 279 and 286

LCM of 279 and 286 is 79794

Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 286. First we will calculate the prime factors of 279 and 286.

Prime Factorization of 279


3 279
3 93
31 31
1

Prime factors of 279 are 3,31. Prime factorization of 279 in exponential form is:

279 = 32×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 279 and 286.

LCM(279,286) = 21×32×111×131×311
LCM(279,286) = 79794

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Factors of 286

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

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

Least Common Multiple of 279 and 286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 279 and 286, than apply into the LCM equation.

GCF(279,286) = 1
LCM(279,286) = ( 279 × 286) / 1
LCM(279,286) = 79794 / 1
LCM(279,286) = 79794

Properties of LCM 279 and 286

(i) The LCM of 286 and 279 is associative

LCM of 279 and 286 = LCM of 286 and 279

Related Least Common Multiples of 279

Related Least Common Multiples of 286

Frequently Asked Questions on LCM of 279 and 286

1. What is the LCM of 279 and 286?

Answer: LCM of 279 and 286 is 79794.

2. What are the Factors of 279?

Answer: Factors of 279 are 1, 3, 9, 31, 93, 279. There are 6 integers that are factors of 279. The greatest factor of 279 is 279.

3. 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.

4. How to Find the LCM of 279 and 286?

Answer:

Least Common Multiple of 279 and 286 = 79794

Step 1: Find the prime factorization of 279

279 = 3 x 3 x 31

Step 2: Find the prime factorization of 286

286 = 2 x 11 x 13

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

LCM = 79794 = 2 x 3 x 3 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 279 and 286 is 79794.