Least Common Multiple of 265 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 265 and 270 the smallest integer that is 14310 that is divisible by both numbers.

Least Common Multiple (LCM) of 265 and 270 is 14310.

LCM(265,270) = 14310

LCM of 265 and 270

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

LCM of:
and

Least Common Multiple of 265 and 270

LCM of 265 and 270 is 14310

Least common multiple can be found by multiplying the highest exponent prime factors of 265 and 270. First we will calculate the prime factors of 265 and 270.

Prime Factorization of 265


5 265
53 53
1

Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:

265 = 51×531

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 265 and 270.

LCM(265,270) = 21×33×51×531
LCM(265,270) = 14310

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 265 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 265 and 270, than apply into the LCM equation.

GCF(265,270) = 5
LCM(265,270) = ( 265 × 270) / 5
LCM(265,270) = 71550 / 5
LCM(265,270) = 14310

Properties of LCM 265 and 270

(i) The LCM of 270 and 265 is associative

LCM of 265 and 270 = LCM of 270 and 265

Related Least Common Multiples of 265

Related Least Common Multiples of 270

Frequently Asked Questions on LCM of 265 and 270

1. What is the LCM of 265 and 270?

Answer: LCM of 265 and 270 is 14310.

2. What are the Factors of 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

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 265 and 270?

Answer:

Least Common Multiple of 265 and 270 = 14310

Step 1: Find the prime factorization of 265

265 = 5 x 53

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 = 14310 = 2 x 3 x 3 x 3 x 5 x 53

Step 4: Therefore, the least common multiple of 265 and 270 is 14310.