Least Common Multiple of 254 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 254 and 260 the smallest integer that is 33020 that is divisible by both numbers.

Least Common Multiple (LCM) of 254 and 260 is 33020.

LCM(254,260) = 33020

LCM of 254 and 260

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

LCM of:
and

Least Common Multiple of 254 and 260

LCM of 254 and 260 is 33020

Least common multiple can be found by multiplying the highest exponent prime factors of 254 and 260. First we will calculate the prime factors of 254 and 260.

Prime Factorization of 254


2 254
127 127
1

Prime factors of 254 are 2,127. Prime factorization of 254 in exponential form is:

254 = 21×1271

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 254 and 260.

LCM(254,260) = 22×51×131×1271
LCM(254,260) = 33020

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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 254 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 254 and 260, than apply into the LCM equation.

GCF(254,260) = 2
LCM(254,260) = ( 254 × 260) / 2
LCM(254,260) = 66040 / 2
LCM(254,260) = 33020

Properties of LCM 254 and 260

(i) The LCM of 260 and 254 is associative

LCM of 254 and 260 = LCM of 260 and 254

Related Least Common Multiples of 254

Related Least Common Multiples of 260

Frequently Asked Questions on LCM of 254 and 260

1. What is the LCM of 254 and 260?

Answer: LCM of 254 and 260 is 33020.

2. What are the Factors of 254?

Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.

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 254 and 260?

Answer:

Least Common Multiple of 254 and 260 = 33020

Step 1: Find the prime factorization of 254

254 = 2 x 127

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 = 33020 = 2 x 2 x 5 x 13 x 127

Step 4: Therefore, the least common multiple of 254 and 260 is 33020.