Least Common Multiple of 279 and 284

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 284 the smallest integer that is 79236 that is divisible by both numbers.

Least Common Multiple (LCM) of 279 and 284 is 79236.

LCM(279,284) = 79236

LCM of 279 and 284

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

LCM of:
and

Least Common Multiple of 279 and 284

LCM of 279 and 284 is 79236

Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 284. First we will calculate the prime factors of 279 and 284.

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 284


2 284
2 142
71 71
1

Prime factors of 284 are 2,71. Prime factorization of 284 in exponential form is:

284 = 22×711

Now multiplying the highest exponent prime factors to calculate the LCM of 279 and 284.

LCM(279,284) = 22×32×311×711
LCM(279,284) = 79236

Factors of 279

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

1, 3, 9, 31, 93, 279

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Least Common Multiple of 279 and 284 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 284, than apply into the LCM equation.

GCF(279,284) = 1
LCM(279,284) = ( 279 × 284) / 1
LCM(279,284) = 79236 / 1
LCM(279,284) = 79236

Properties of LCM 279 and 284

(i) The LCM of 284 and 279 is associative

LCM of 279 and 284 = LCM of 284 and 279

Related Least Common Multiples of 279

Related Least Common Multiples of 284

Frequently Asked Questions on LCM of 279 and 284

1. What is the LCM of 279 and 284?

Answer: LCM of 279 and 284 is 79236.

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 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

4. How to Find the LCM of 279 and 284?

Answer:

Least Common Multiple of 279 and 284 = 79236

Step 1: Find the prime factorization of 279

279 = 3 x 3 x 31

Step 2: Find the prime factorization of 284

284 = 2 x 2 x 71

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

LCM = 79236 = 2 x 2 x 3 x 3 x 31 x 71

Step 4: Therefore, the least common multiple of 279 and 284 is 79236.