Least Common Multiple of 5252 and 5257

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 5257 the smallest integer that is 27609764 that is divisible by both numbers.

Least Common Multiple (LCM) of 5252 and 5257 is 27609764.

LCM(5252,5257) = 27609764

LCM of 5252 and 5257

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

LCM of:
and

Least Common Multiple of 5252 and 5257

LCM of 5252 and 5257 is 27609764

Least common multiple can be found by multiplying the highest exponent prime factors of 5252 and 5257. First we will calculate the prime factors of 5252 and 5257.

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 5257


7 5257
751 751
1

Prime factors of 5257 are 7,751. Prime factorization of 5257 in exponential form is:

5257 = 71×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 5252 and 5257.

LCM(5252,5257) = 22×71×131×1011×7511
LCM(5252,5257) = 27609764

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 5257

List of positive integer factors of 5257 that divides 5257 without a remainder.

1, 7, 751, 5257

Least Common Multiple of 5252 and 5257 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 5257, than apply into the LCM equation.

GCF(5252,5257) = 1
LCM(5252,5257) = ( 5252 × 5257) / 1
LCM(5252,5257) = 27609764 / 1
LCM(5252,5257) = 27609764

Properties of LCM 5252 and 5257

(i) The LCM of 5257 and 5252 is associative

LCM of 5252 and 5257 = LCM of 5257 and 5252

Related Least Common Multiples of 5252

Related Least Common Multiples of 5257

Frequently Asked Questions on LCM of 5252 and 5257

1. What is the LCM of 5252 and 5257?

Answer: LCM of 5252 and 5257 is 27609764.

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 5257?

Answer: Factors of 5257 are 1, 7, 751, 5257. There are 4 integers that are factors of 5257. The greatest factor of 5257 is 5257.

4. How to Find the LCM of 5252 and 5257?

Answer:

Least Common Multiple of 5252 and 5257 = 27609764

Step 1: Find the prime factorization of 5252

5252 = 2 x 2 x 13 x 101

Step 2: Find the prime factorization of 5257

5257 = 7 x 751

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

LCM = 27609764 = 2 x 2 x 7 x 13 x 101 x 751

Step 4: Therefore, the least common multiple of 5252 and 5257 is 27609764.