Least Common Multiple of 278 and 279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 278 and 279 the smallest integer that is 77562 that is divisible by both numbers.

Least Common Multiple (LCM) of 278 and 279 is 77562.

LCM(278,279) = 77562

LCM of 278 and 279

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

LCM of:
and

Least Common Multiple of 278 and 279

LCM of 278 and 279 is 77562

Least common multiple can be found by multiplying the highest exponent prime factors of 278 and 279. First we will calculate the prime factors of 278 and 279.

Prime Factorization of 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 278 and 279.

LCM(278,279) = 21×32×311×1391
LCM(278,279) = 77562

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Factors of 279

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

1, 3, 9, 31, 93, 279

Least Common Multiple of 278 and 279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 278 and 279, than apply into the LCM equation.

GCF(278,279) = 1
LCM(278,279) = ( 278 × 279) / 1
LCM(278,279) = 77562 / 1
LCM(278,279) = 77562

Properties of LCM 278 and 279

(i) The LCM of 279 and 278 is associative

LCM of 278 and 279 = LCM of 279 and 278

Related Least Common Multiples of 278

Related Least Common Multiples of 279

Frequently Asked Questions on LCM of 278 and 279

1. What is the LCM of 278 and 279?

Answer: LCM of 278 and 279 is 77562.

2. What are the Factors of 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

3. 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.

4. How to Find the LCM of 278 and 279?

Answer:

Least Common Multiple of 278 and 279 = 77562

Step 1: Find the prime factorization of 278

278 = 2 x 139

Step 2: Find the prime factorization of 279

279 = 3 x 3 x 31

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

LCM = 77562 = 2 x 3 x 3 x 31 x 139

Step 4: Therefore, the least common multiple of 278 and 279 is 77562.