Least Common Multiple of 262 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 262 and 270 the smallest integer that is 35370 that is divisible by both numbers.

Least Common Multiple (LCM) of 262 and 270 is 35370.

LCM(262,270) = 35370

LCM of 262 and 270

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

LCM of:
and

Least Common Multiple of 262 and 270

LCM of 262 and 270 is 35370

Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 270. First we will calculate the prime factors of 262 and 270.

Prime Factorization of 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

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 262 and 270.

LCM(262,270) = 21×33×51×1311
LCM(262,270) = 35370

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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 262 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 262 and 270, than apply into the LCM equation.

GCF(262,270) = 2
LCM(262,270) = ( 262 × 270) / 2
LCM(262,270) = 70740 / 2
LCM(262,270) = 35370

Properties of LCM 262 and 270

(i) The LCM of 270 and 262 is associative

LCM of 262 and 270 = LCM of 270 and 262

Related Least Common Multiples of 262

Related Least Common Multiples of 270

Frequently Asked Questions on LCM of 262 and 270

1. What is the LCM of 262 and 270?

Answer: LCM of 262 and 270 is 35370.

2. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

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 262 and 270?

Answer:

Least Common Multiple of 262 and 270 = 35370

Step 1: Find the prime factorization of 262

262 = 2 x 131

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 = 35370 = 2 x 3 x 3 x 3 x 5 x 131

Step 4: Therefore, the least common multiple of 262 and 270 is 35370.