Least Common Multiple of 263 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 263 and 270 the smallest integer that is 71010 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 270 is 71010.

LCM(263,270) = 71010

LCM of 263 and 270

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

LCM of:
and

Least Common Multiple of 263 and 270

LCM of 263 and 270 is 71010

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 270. First we will calculate the prime factors of 263 and 270.

Prime Factorization of 263


263 263
1

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 2631

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 263 and 270.

LCM(263,270) = 21×33×51×2631
LCM(263,270) = 71010

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1, 263

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 263 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 263 and 270, than apply into the LCM equation.

GCF(263,270) = 1
LCM(263,270) = ( 263 × 270) / 1
LCM(263,270) = 71010 / 1
LCM(263,270) = 71010

Properties of LCM 263 and 270

(i) The LCM of 270 and 263 is associative

LCM of 263 and 270 = LCM of 270 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 270

Frequently Asked Questions on LCM of 263 and 270

1. What is the LCM of 263 and 270?

Answer: LCM of 263 and 270 is 71010.

2. What are the Factors of 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

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 263 and 270?

Answer:

Least Common Multiple of 263 and 270 = 71010

Step 1: Find the prime factorization of 263

263 = 263

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 = 71010 = 2 x 3 x 3 x 3 x 5 x 263

Step 4: Therefore, the least common multiple of 263 and 270 is 71010.