Least Common Multiple of 269 and 276

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 276 the smallest integer that is 74244 that is divisible by both numbers.

Least Common Multiple (LCM) of 269 and 276 is 74244.

LCM(269,276) = 74244

LCM of 269 and 276

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

LCM of:
and

Least Common Multiple of 269 and 276

LCM of 269 and 276 is 74244

Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 276. First we will calculate the prime factors of 269 and 276.

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 276


2 276
2 138
3 69
23 23
1

Prime factors of 276 are 2, 3,23. Prime factorization of 276 in exponential form is:

276 = 22×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 269 and 276.

LCM(269,276) = 22×31×231×2691
LCM(269,276) = 74244

Factors of 269

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

1, 269

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Least Common Multiple of 269 and 276 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 276, than apply into the LCM equation.

GCF(269,276) = 1
LCM(269,276) = ( 269 × 276) / 1
LCM(269,276) = 74244 / 1
LCM(269,276) = 74244

Properties of LCM 269 and 276

(i) The LCM of 276 and 269 is associative

LCM of 269 and 276 = LCM of 276 and 269

Related Least Common Multiples of 269

Related Least Common Multiples of 276

Frequently Asked Questions on LCM of 269 and 276

1. What is the LCM of 269 and 276?

Answer: LCM of 269 and 276 is 74244.

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 276?

Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.

4. How to Find the LCM of 269 and 276?

Answer:

Least Common Multiple of 269 and 276 = 74244

Step 1: Find the prime factorization of 269

269 = 269

Step 2: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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

LCM = 74244 = 2 x 2 x 3 x 23 x 269

Step 4: Therefore, the least common multiple of 269 and 276 is 74244.