Least Common Multiple of 260 and 263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 260 and 263 the smallest integer that is 68380 that is divisible by both numbers.

Least Common Multiple (LCM) of 260 and 263 is 68380.

LCM(260,263) = 68380

LCM of 260 and 263

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

LCM of:
and

Least Common Multiple of 260 and 263

LCM of 260 and 263 is 68380

Least common multiple can be found by multiplying the highest exponent prime factors of 260 and 263. First we will calculate the prime factors of 260 and 263.

Prime Factorization of 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2, 5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Prime Factorization of 263


263 263
1

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

263 = 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 260 and 263.

LCM(260,263) = 22×51×131×2631
LCM(260,263) = 68380

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Factors of 263

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

1, 263

Least Common Multiple of 260 and 263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 263, than apply into the LCM equation.

GCF(260,263) = 1
LCM(260,263) = ( 260 × 263) / 1
LCM(260,263) = 68380 / 1
LCM(260,263) = 68380

Properties of LCM 260 and 263

(i) The LCM of 263 and 260 is associative

LCM of 260 and 263 = LCM of 263 and 260

Related Least Common Multiples of 260

Related Least Common Multiples of 263

Frequently Asked Questions on LCM of 260 and 263

1. What is the LCM of 260 and 263?

Answer: LCM of 260 and 263 is 68380.

2. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

3. 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.

4. How to Find the LCM of 260 and 263?

Answer:

Least Common Multiple of 260 and 263 = 68380

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 263

263 = 263

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

LCM = 68380 = 2 x 2 x 5 x 13 x 263

Step 4: Therefore, the least common multiple of 260 and 263 is 68380.