Least Common Multiple of 270 and 271

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 271 the smallest integer that is 73170 that is divisible by both numbers.

Least Common Multiple (LCM) of 270 and 271 is 73170.

LCM(270,271) = 73170

LCM of 270 and 271

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

LCM of:
and

Least Common Multiple of 270 and 271

LCM of 270 and 271 is 73170

Least common multiple can be found by multiplying the highest exponent prime factors of 270 and 271. First we will calculate the prime factors of 270 and 271.

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 271


271 271
1

Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:

271 = 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 270 and 271.

LCM(270,271) = 21×33×51×2711
LCM(270,271) = 73170

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 271

List of positive integer factors of 271 that divides 271 without a remainder.

1, 271

Least Common Multiple of 270 and 271 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 271, than apply into the LCM equation.

GCF(270,271) = 1
LCM(270,271) = ( 270 × 271) / 1
LCM(270,271) = 73170 / 1
LCM(270,271) = 73170

Properties of LCM 270 and 271

(i) The LCM of 271 and 270 is associative

LCM of 270 and 271 = LCM of 271 and 270

Related Least Common Multiples of 270

Related Least Common Multiples of 271

Frequently Asked Questions on LCM of 270 and 271

1. What is the LCM of 270 and 271?

Answer: LCM of 270 and 271 is 73170.

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 271?

Answer: Factors of 271 are 1, 271. There are 2 integers that are factors of 271. The greatest factor of 271 is 271.

4. How to Find the LCM of 270 and 271?

Answer:

Least Common Multiple of 270 and 271 = 73170

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 271

271 = 271

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

LCM = 73170 = 2 x 3 x 3 x 3 x 5 x 271

Step 4: Therefore, the least common multiple of 270 and 271 is 73170.