Least Common Multiple of 253 and 259

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 259 the smallest integer that is 65527 that is divisible by both numbers.

Least Common Multiple (LCM) of 253 and 259 is 65527.

LCM(253,259) = 65527

LCM of 253 and 259

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

LCM of:
and

Least Common Multiple of 253 and 259

LCM of 253 and 259 is 65527

Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 259. First we will calculate the prime factors of 253 and 259.

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 259


7 259
37 37
1

Prime factors of 259 are 7,37. Prime factorization of 259 in exponential form is:

259 = 71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 253 and 259.

LCM(253,259) = 71×111×231×371
LCM(253,259) = 65527

Factors of 253

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

1, 11, 23, 253

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Least Common Multiple of 253 and 259 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 259, than apply into the LCM equation.

GCF(253,259) = 1
LCM(253,259) = ( 253 × 259) / 1
LCM(253,259) = 65527 / 1
LCM(253,259) = 65527

Properties of LCM 253 and 259

(i) The LCM of 259 and 253 is associative

LCM of 253 and 259 = LCM of 259 and 253

Related Least Common Multiples of 253

Related Least Common Multiples of 259

Frequently Asked Questions on LCM of 253 and 259

1. What is the LCM of 253 and 259?

Answer: LCM of 253 and 259 is 65527.

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 259?

Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.

4. How to Find the LCM of 253 and 259?

Answer:

Least Common Multiple of 253 and 259 = 65527

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 259

259 = 7 x 37

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

LCM = 65527 = 7 x 11 x 23 x 37

Step 4: Therefore, the least common multiple of 253 and 259 is 65527.