Least Common Multiple of 270 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 270 and 275 the smallest integer that is 14850 that is divisible by both numbers.

Least Common Multiple (LCM) of 270 and 275 is 14850.

LCM(270,275) = 14850

LCM of 270 and 275

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

LCM of:
and

Least Common Multiple of 270 and 275

LCM of 270 and 275 is 14850

Least common multiple can be found by multiplying the highest exponent prime factors of 270 and 275. First we will calculate the prime factors of 270 and 275.

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

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 270 and 275.

LCM(270,275) = 21×33×52×111
LCM(270,275) = 14850

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

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 270 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 270 and 275, than apply into the LCM equation.

GCF(270,275) = 5
LCM(270,275) = ( 270 × 275) / 5
LCM(270,275) = 74250 / 5
LCM(270,275) = 14850

Properties of LCM 270 and 275

(i) The LCM of 275 and 270 is associative

LCM of 270 and 275 = LCM of 275 and 270

Related Least Common Multiples of 270

Related Least Common Multiples of 275

Frequently Asked Questions on LCM of 270 and 275

1. What is the LCM of 270 and 275?

Answer: LCM of 270 and 275 is 14850.

2. 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.

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 270 and 275?

Answer:

Least Common Multiple of 270 and 275 = 14850

Step 1: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

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 = 14850 = 2 x 3 x 3 x 3 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 270 and 275 is 14850.