Least Common Multiple of 275 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 275 and 279 the smallest integer that is 76725 that is divisible by both numbers.

Least Common Multiple (LCM) of 275 and 279 is 76725.

LCM(275,279) = 76725

LCM of 275 and 279

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

LCM of:
and

Least Common Multiple of 275 and 279

LCM of 275 and 279 is 76725

Least common multiple can be found by multiplying the highest exponent prime factors of 275 and 279. First we will calculate the prime factors of 275 and 279.

Prime Factorization of 275


5 275
5 55
11 11
1

Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:

275 = 52×111

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 275 and 279.

LCM(275,279) = 32×52×111×311
LCM(275,279) = 76725

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 275 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 275 and 279, than apply into the LCM equation.

GCF(275,279) = 1
LCM(275,279) = ( 275 × 279) / 1
LCM(275,279) = 76725 / 1
LCM(275,279) = 76725

Properties of LCM 275 and 279

(i) The LCM of 279 and 275 is associative

LCM of 275 and 279 = LCM of 279 and 275

Related Least Common Multiples of 275

Related Least Common Multiples of 279

Frequently Asked Questions on LCM of 275 and 279

1. What is the LCM of 275 and 279?

Answer: LCM of 275 and 279 is 76725.

2. What are the Factors of 275?

Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.

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 275 and 279?

Answer:

Least Common Multiple of 275 and 279 = 76725

Step 1: Find the prime factorization of 275

275 = 5 x 5 x 11

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 = 76725 = 3 x 3 x 5 x 5 x 11 x 31

Step 4: Therefore, the least common multiple of 275 and 279 is 76725.