Least Common Multiple of 251 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 251 and 259 the smallest integer that is 65009 that is divisible by both numbers.

Least Common Multiple (LCM) of 251 and 259 is 65009.

LCM(251,259) = 65009

LCM of 251 and 259

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

LCM of:
and

Least Common Multiple of 251 and 259

LCM of 251 and 259 is 65009

Least common multiple can be found by multiplying the highest exponent prime factors of 251 and 259. First we will calculate the prime factors of 251 and 259.

Prime Factorization of 251


251 251
1

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

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 251 and 259.

LCM(251,259) = 71×371×2511
LCM(251,259) = 65009

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1, 251

Factors of 259

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

1, 7, 37, 259

Least Common Multiple of 251 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 251 and 259, than apply into the LCM equation.

GCF(251,259) = 1
LCM(251,259) = ( 251 × 259) / 1
LCM(251,259) = 65009 / 1
LCM(251,259) = 65009

Properties of LCM 251 and 259

(i) The LCM of 259 and 251 is associative

LCM of 251 and 259 = LCM of 259 and 251

Related Least Common Multiples of 251

Related Least Common Multiples of 259

Frequently Asked Questions on LCM of 251 and 259

1. What is the LCM of 251 and 259?

Answer: LCM of 251 and 259 is 65009.

2. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

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 251 and 259?

Answer:

Least Common Multiple of 251 and 259 = 65009

Step 1: Find the prime factorization of 251

251 = 251

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 = 65009 = 7 x 37 x 251

Step 4: Therefore, the least common multiple of 251 and 259 is 65009.