Least Common Multiple of 5252 and 5259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5252 and 5259 the smallest integer that is 27620268 that is divisible by both numbers.

Least Common Multiple (LCM) of 5252 and 5259 is 27620268.

LCM(5252,5259) = 27620268

LCM of 5252 and 5259

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

LCM of:
and

Least Common Multiple of 5252 and 5259

LCM of 5252 and 5259 is 27620268

Least common multiple can be found by multiplying the highest exponent prime factors of 5252 and 5259. First we will calculate the prime factors of 5252 and 5259.

Prime Factorization of 5252


2 5252
2 2626
13 1313
101 101
1

Prime factors of 5252 are 2, 13,101. Prime factorization of 5252 in exponential form is:

5252 = 22×131×1011

Prime Factorization of 5259


3 5259
1753 1753
1

Prime factors of 5259 are 3,1753. Prime factorization of 5259 in exponential form is:

5259 = 31×17531

Now multiplying the highest exponent prime factors to calculate the LCM of 5252 and 5259.

LCM(5252,5259) = 22×31×131×1011×17531
LCM(5252,5259) = 27620268

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252

Factors of 5259

List of positive integer factors of 5259 that divides 5259 without a remainder.

1, 3, 1753, 5259

Least Common Multiple of 5252 and 5259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5252 and 5259, than apply into the LCM equation.

GCF(5252,5259) = 1
LCM(5252,5259) = ( 5252 × 5259) / 1
LCM(5252,5259) = 27620268 / 1
LCM(5252,5259) = 27620268

Properties of LCM 5252 and 5259

(i) The LCM of 5259 and 5252 is associative

LCM of 5252 and 5259 = LCM of 5259 and 5252

Related Least Common Multiples of 5252

Related Least Common Multiples of 5259

Frequently Asked Questions on LCM of 5252 and 5259

1. What is the LCM of 5252 and 5259?

Answer: LCM of 5252 and 5259 is 27620268.

2. What are the Factors of 5252?

Answer: Factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252. There are 12 integers that are factors of 5252. The greatest factor of 5252 is 5252.

3. What are the Factors of 5259?

Answer: Factors of 5259 are 1, 3, 1753, 5259. There are 4 integers that are factors of 5259. The greatest factor of 5259 is 5259.

4. How to Find the LCM of 5252 and 5259?

Answer:

Least Common Multiple of 5252 and 5259 = 27620268

Step 1: Find the prime factorization of 5252

5252 = 2 x 2 x 13 x 101

Step 2: Find the prime factorization of 5259

5259 = 3 x 1753

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

LCM = 27620268 = 2 x 2 x 3 x 13 x 101 x 1753

Step 4: Therefore, the least common multiple of 5252 and 5259 is 27620268.