Least Common Multiple of 277 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 277 and 279 the smallest integer that is 77283 that is divisible by both numbers.

Least Common Multiple (LCM) of 277 and 279 is 77283.

LCM(277,279) = 77283

LCM of 277 and 279

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

LCM of:
and

Least Common Multiple of 277 and 279

LCM of 277 and 279 is 77283

Least common multiple can be found by multiplying the highest exponent prime factors of 277 and 279. First we will calculate the prime factors of 277 and 279.

Prime Factorization of 277


277 277
1

Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:

277 = 2771

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 277 and 279.

LCM(277,279) = 32×311×2771
LCM(277,279) = 77283

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1, 277

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 277 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 277 and 279, than apply into the LCM equation.

GCF(277,279) = 1
LCM(277,279) = ( 277 × 279) / 1
LCM(277,279) = 77283 / 1
LCM(277,279) = 77283

Properties of LCM 277 and 279

(i) The LCM of 279 and 277 is associative

LCM of 277 and 279 = LCM of 279 and 277

Related Least Common Multiples of 277

Related Least Common Multiples of 279

Frequently Asked Questions on LCM of 277 and 279

1. What is the LCM of 277 and 279?

Answer: LCM of 277 and 279 is 77283.

2. What are the Factors of 277?

Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.

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 277 and 279?

Answer:

Least Common Multiple of 277 and 279 = 77283

Step 1: Find the prime factorization of 277

277 = 277

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 = 77283 = 3 x 3 x 31 x 277

Step 4: Therefore, the least common multiple of 277 and 279 is 77283.