Least Common Multiple of 269 and 272

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 272 the smallest integer that is 73168 that is divisible by both numbers.

Least Common Multiple (LCM) of 269 and 272 is 73168.

LCM(269,272) = 73168

LCM of 269 and 272

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

LCM of:
and

Least Common Multiple of 269 and 272

LCM of 269 and 272 is 73168

Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 272. First we will calculate the prime factors of 269 and 272.

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 272


2 272
2 136
2 68
2 34
17 17
1

Prime factors of 272 are 2,17. Prime factorization of 272 in exponential form is:

272 = 24×171

Now multiplying the highest exponent prime factors to calculate the LCM of 269 and 272.

LCM(269,272) = 24×171×2691
LCM(269,272) = 73168

Factors of 269

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

1, 269

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Least Common Multiple of 269 and 272 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 272, than apply into the LCM equation.

GCF(269,272) = 1
LCM(269,272) = ( 269 × 272) / 1
LCM(269,272) = 73168 / 1
LCM(269,272) = 73168

Properties of LCM 269 and 272

(i) The LCM of 272 and 269 is associative

LCM of 269 and 272 = LCM of 272 and 269

Related Least Common Multiples of 269

Related Least Common Multiples of 272

Frequently Asked Questions on LCM of 269 and 272

1. What is the LCM of 269 and 272?

Answer: LCM of 269 and 272 is 73168.

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 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

4. How to Find the LCM of 269 and 272?

Answer:

Least Common Multiple of 269 and 272 = 73168

Step 1: Find the prime factorization of 269

269 = 269

Step 2: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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

LCM = 73168 = 2 x 2 x 2 x 2 x 17 x 269

Step 4: Therefore, the least common multiple of 269 and 272 is 73168.