Least Common Multiple of 252 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 252 and 259 the smallest integer that is 9324 that is divisible by both numbers.

Least Common Multiple (LCM) of 252 and 259 is 9324.

LCM(252,259) = 9324

LCM of 252 and 259

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

LCM of:
and

Least Common Multiple of 252 and 259

LCM of 252 and 259 is 9324

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 259. First we will calculate the prime factors of 252 and 259.

Prime Factorization of 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2, 3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

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 252 and 259.

LCM(252,259) = 22×32×71×371
LCM(252,259) = 9324

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factors of 259

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

1, 7, 37, 259

Least Common Multiple of 252 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 252 and 259, than apply into the LCM equation.

GCF(252,259) = 7
LCM(252,259) = ( 252 × 259) / 7
LCM(252,259) = 65268 / 7
LCM(252,259) = 9324

Properties of LCM 252 and 259

(i) The LCM of 259 and 252 is associative

LCM of 252 and 259 = LCM of 259 and 252

Related Least Common Multiples of 252

Related Least Common Multiples of 259

Frequently Asked Questions on LCM of 252 and 259

1. What is the LCM of 252 and 259?

Answer: LCM of 252 and 259 is 9324.

2. What are the Factors of 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

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 252 and 259?

Answer:

Least Common Multiple of 252 and 259 = 9324

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

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 = 9324 = 2 x 2 x 3 x 3 x 7 x 37

Step 4: Therefore, the least common multiple of 252 and 259 is 9324.