Least Common Multiple of 259 and 264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 259 and 264 the smallest integer that is 68376 that is divisible by both numbers.

Least Common Multiple (LCM) of 259 and 264 is 68376.

LCM(259,264) = 68376

LCM of 259 and 264

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

LCM of:
and

Least Common Multiple of 259 and 264

LCM of 259 and 264 is 68376

Least common multiple can be found by multiplying the highest exponent prime factors of 259 and 264. First we will calculate the prime factors of 259 and 264.

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

Prime Factorization of 264


2 264
2 132
2 66
3 33
11 11
1

Prime factors of 264 are 2, 3,11. Prime factorization of 264 in exponential form is:

264 = 23×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 259 and 264.

LCM(259,264) = 23×31×71×111×371
LCM(259,264) = 68376

Factors of 259

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

1, 7, 37, 259

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Least Common Multiple of 259 and 264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 259 and 264, than apply into the LCM equation.

GCF(259,264) = 1
LCM(259,264) = ( 259 × 264) / 1
LCM(259,264) = 68376 / 1
LCM(259,264) = 68376

Properties of LCM 259 and 264

(i) The LCM of 264 and 259 is associative

LCM of 259 and 264 = LCM of 264 and 259

Related Least Common Multiples of 259

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 259 and 264

1. What is the LCM of 259 and 264?

Answer: LCM of 259 and 264 is 68376.

2. 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.

3. What are the Factors of 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.

4. How to Find the LCM of 259 and 264?

Answer:

Least Common Multiple of 259 and 264 = 68376

Step 1: Find the prime factorization of 259

259 = 7 x 37

Step 2: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

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

LCM = 68376 = 2 x 2 x 2 x 3 x 7 x 11 x 37

Step 4: Therefore, the least common multiple of 259 and 264 is 68376.