Least Common Multiple of 5252 and 5254

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 5254 the smallest integer that is 13797004 that is divisible by both numbers.

Least Common Multiple (LCM) of 5252 and 5254 is 13797004.

LCM(5252,5254) = 13797004

LCM of 5252 and 5254

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

LCM of:
and

Least Common Multiple of 5252 and 5254

LCM of 5252 and 5254 is 13797004

Least common multiple can be found by multiplying the highest exponent prime factors of 5252 and 5254. First we will calculate the prime factors of 5252 and 5254.

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 5254


2 5254
37 2627
71 71
1

Prime factors of 5254 are 2, 37,71. Prime factorization of 5254 in exponential form is:

5254 = 21×371×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5252 and 5254.

LCM(5252,5254) = 22×131×371×711×1011
LCM(5252,5254) = 13797004

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 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1, 2, 37, 71, 74, 142, 2627, 5254

Least Common Multiple of 5252 and 5254 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 5254, than apply into the LCM equation.

GCF(5252,5254) = 2
LCM(5252,5254) = ( 5252 × 5254) / 2
LCM(5252,5254) = 27594008 / 2
LCM(5252,5254) = 13797004

Properties of LCM 5252 and 5254

(i) The LCM of 5254 and 5252 is associative

LCM of 5252 and 5254 = LCM of 5254 and 5252

Related Least Common Multiples of 5252

Related Least Common Multiples of 5254

Frequently Asked Questions on LCM of 5252 and 5254

1. What is the LCM of 5252 and 5254?

Answer: LCM of 5252 and 5254 is 13797004.

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 5254?

Answer: Factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254. There are 8 integers that are factors of 5254. The greatest factor of 5254 is 5254.

4. How to Find the LCM of 5252 and 5254?

Answer:

Least Common Multiple of 5252 and 5254 = 13797004

Step 1: Find the prime factorization of 5252

5252 = 2 x 2 x 13 x 101

Step 2: Find the prime factorization of 5254

5254 = 2 x 37 x 71

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

LCM = 13797004 = 2 x 2 x 13 x 37 x 71 x 101

Step 4: Therefore, the least common multiple of 5252 and 5254 is 13797004.