Least Common Multiple of 253 and 260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 253 and 260 the smallest integer that is 65780 that is divisible by both numbers.

Least Common Multiple (LCM) of 253 and 260 is 65780.

LCM(253,260) = 65780

LCM of 253 and 260

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

LCM of:
and

Least Common Multiple of 253 and 260

LCM of 253 and 260 is 65780

Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 260. First we will calculate the prime factors of 253 and 260.

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 253 and 260.

LCM(253,260) = 22×51×111×131×231
LCM(253,260) = 65780

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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

Least Common Multiple of 253 and 260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 253 and 260, than apply into the LCM equation.

GCF(253,260) = 1
LCM(253,260) = ( 253 × 260) / 1
LCM(253,260) = 65780 / 1
LCM(253,260) = 65780

Properties of LCM 253 and 260

(i) The LCM of 260 and 253 is associative

LCM of 253 and 260 = LCM of 260 and 253

Related Least Common Multiples of 253

Related Least Common Multiples of 260

Frequently Asked Questions on LCM of 253 and 260

1. What is the LCM of 253 and 260?

Answer: LCM of 253 and 260 is 65780.

2. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

3. 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.

4. How to Find the LCM of 253 and 260?

Answer:

Least Common Multiple of 253 and 260 = 65780

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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

LCM = 65780 = 2 x 2 x 5 x 11 x 13 x 23

Step 4: Therefore, the least common multiple of 253 and 260 is 65780.