Least Common Multiple of 269 and 275

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 275 the smallest integer that is 73975 that is divisible by both numbers.

Least Common Multiple (LCM) of 269 and 275 is 73975.

LCM(269,275) = 73975

LCM of 269 and 275

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

LCM of:
and

Least Common Multiple of 269 and 275

LCM of 269 and 275 is 73975

Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 275. First we will calculate the prime factors of 269 and 275.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 269 and 275.

LCM(269,275) = 52×111×2691
LCM(269,275) = 73975

Factors of 269

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

1, 269

Factors of 275

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

1, 5, 11, 25, 55, 275

Least Common Multiple of 269 and 275 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 275, than apply into the LCM equation.

GCF(269,275) = 1
LCM(269,275) = ( 269 × 275) / 1
LCM(269,275) = 73975 / 1
LCM(269,275) = 73975

Properties of LCM 269 and 275

(i) The LCM of 275 and 269 is associative

LCM of 269 and 275 = LCM of 275 and 269

Related Least Common Multiples of 269

Related Least Common Multiples of 275

Frequently Asked Questions on LCM of 269 and 275

1. What is the LCM of 269 and 275?

Answer: LCM of 269 and 275 is 73975.

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 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.

4. How to Find the LCM of 269 and 275?

Answer:

Least Common Multiple of 269 and 275 = 73975

Step 1: Find the prime factorization of 269

269 = 269

Step 2: Find the prime factorization of 275

275 = 5 x 5 x 11

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

LCM = 73975 = 5 x 5 x 11 x 269

Step 4: Therefore, the least common multiple of 269 and 275 is 73975.