Least Common Multiple of 279 and 280

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 280 the smallest integer that is 78120 that is divisible by both numbers.

Least Common Multiple (LCM) of 279 and 280 is 78120.

LCM(279,280) = 78120

LCM of 279 and 280

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

LCM of:
and

Least Common Multiple of 279 and 280

LCM of 279 and 280 is 78120

Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 280. First we will calculate the prime factors of 279 and 280.

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 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2, 5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 279 and 280.

LCM(279,280) = 23×32×51×71×311
LCM(279,280) = 78120

Factors of 279

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

1, 3, 9, 31, 93, 279

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Least Common Multiple of 279 and 280 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 280, than apply into the LCM equation.

GCF(279,280) = 1
LCM(279,280) = ( 279 × 280) / 1
LCM(279,280) = 78120 / 1
LCM(279,280) = 78120

Properties of LCM 279 and 280

(i) The LCM of 280 and 279 is associative

LCM of 279 and 280 = LCM of 280 and 279

Related Least Common Multiples of 279

Related Least Common Multiples of 280

Frequently Asked Questions on LCM of 279 and 280

1. What is the LCM of 279 and 280?

Answer: LCM of 279 and 280 is 78120.

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 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

4. How to Find the LCM of 279 and 280?

Answer:

Least Common Multiple of 279 and 280 = 78120

Step 1: Find the prime factorization of 279

279 = 3 x 3 x 31

Step 2: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 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 = 78120 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31

Step 4: Therefore, the least common multiple of 279 and 280 is 78120.