Least Common Multiple of 269 and 277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 269 and 277 the smallest integer that is 74513 that is divisible by both numbers.

Least Common Multiple (LCM) of 269 and 277 is 74513.

LCM(269,277) = 74513

LCM of 269 and 277

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

LCM of:
and

Least Common Multiple of 269 and 277

LCM of 269 and 277 is 74513

Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 277. First we will calculate the prime factors of 269 and 277.

Prime Factorization of 269


269 269
1

Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:

269 = 2691

Prime Factorization of 277


277 277
1

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

277 = 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 269 and 277.

LCM(269,277) = 2691×2771
LCM(269,277) = 74513

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1, 269

Factors of 277

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

1, 277

Least Common Multiple of 269 and 277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 269 and 277, than apply into the LCM equation.

GCF(269,277) = 1
LCM(269,277) = ( 269 × 277) / 1
LCM(269,277) = 74513 / 1
LCM(269,277) = 74513

Properties of LCM 269 and 277

(i) The LCM of 277 and 269 is associative

LCM of 269 and 277 = LCM of 277 and 269

Related Least Common Multiples of 269

Related Least Common Multiples of 277

Frequently Asked Questions on LCM of 269 and 277

1. What is the LCM of 269 and 277?

Answer: LCM of 269 and 277 is 74513.

2. What are the Factors of 269?

Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.

3. 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.

4. How to Find the LCM of 269 and 277?

Answer:

Least Common Multiple of 269 and 277 = 74513

Step 1: Find the prime factorization of 269

269 = 269

Step 2: Find the prime factorization of 277

277 = 277

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

LCM = 74513 = 269 x 277

Step 4: Therefore, the least common multiple of 269 and 277 is 74513.