Least Common Multiple of 257 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 257 and 260 the smallest integer that is 66820 that is divisible by both numbers.

Least Common Multiple (LCM) of 257 and 260 is 66820.

LCM(257,260) = 66820

LCM of 257 and 260

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

LCM of:
and

Least Common Multiple of 257 and 260

LCM of 257 and 260 is 66820

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 260. First we will calculate the prime factors of 257 and 260.

Prime Factorization of 257


257 257
1

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

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 257 and 260.

LCM(257,260) = 22×51×131×2571
LCM(257,260) = 66820

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1, 257

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 257 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 257 and 260, than apply into the LCM equation.

GCF(257,260) = 1
LCM(257,260) = ( 257 × 260) / 1
LCM(257,260) = 66820 / 1
LCM(257,260) = 66820

Properties of LCM 257 and 260

(i) The LCM of 260 and 257 is associative

LCM of 257 and 260 = LCM of 260 and 257

Related Least Common Multiples of 257

Related Least Common Multiples of 260

Frequently Asked Questions on LCM of 257 and 260

1. What is the LCM of 257 and 260?

Answer: LCM of 257 and 260 is 66820.

2. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

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 257 and 260?

Answer:

Least Common Multiple of 257 and 260 = 66820

Step 1: Find the prime factorization of 257

257 = 257

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 = 66820 = 2 x 2 x 5 x 13 x 257

Step 4: Therefore, the least common multiple of 257 and 260 is 66820.