Least Common Multiple of 269 and 270

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 270 the smallest integer that is 72630 that is divisible by both numbers.

Least Common Multiple (LCM) of 269 and 270 is 72630.

LCM(269,270) = 72630

LCM of 269 and 270

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

LCM of:
and

Least Common Multiple of 269 and 270

LCM of 269 and 270 is 72630

Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 270. First we will calculate the prime factors of 269 and 270.

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 270


2 270
3 135
3 45
3 15
5 5
1

Prime factors of 270 are 2, 3,5. Prime factorization of 270 in exponential form is:

270 = 21×33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 269 and 270.

LCM(269,270) = 21×33×51×2691
LCM(269,270) = 72630

Factors of 269

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

1, 269

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Least Common Multiple of 269 and 270 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 270, than apply into the LCM equation.

GCF(269,270) = 1
LCM(269,270) = ( 269 × 270) / 1
LCM(269,270) = 72630 / 1
LCM(269,270) = 72630

Properties of LCM 269 and 270

(i) The LCM of 270 and 269 is associative

LCM of 269 and 270 = LCM of 270 and 269

Related Least Common Multiples of 269

Related Least Common Multiples of 270

Frequently Asked Questions on LCM of 269 and 270

1. What is the LCM of 269 and 270?

Answer: LCM of 269 and 270 is 72630.

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 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.

4. How to Find the LCM of 269 and 270?

Answer:

Least Common Multiple of 269 and 270 = 72630

Step 1: Find the prime factorization of 269

269 = 269

Step 2: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

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

LCM = 72630 = 2 x 3 x 3 x 3 x 5 x 269

Step 4: Therefore, the least common multiple of 269 and 270 is 72630.