Least Common Multiple of 5252 and 5260

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 5260 the smallest integer that is 6906380 that is divisible by both numbers.

Least Common Multiple (LCM) of 5252 and 5260 is 6906380.

LCM(5252,5260) = 6906380

LCM of 5252 and 5260

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

LCM of:
and

Least Common Multiple of 5252 and 5260

LCM of 5252 and 5260 is 6906380

Least common multiple can be found by multiplying the highest exponent prime factors of 5252 and 5260. First we will calculate the prime factors of 5252 and 5260.

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 5260


2 5260
2 2630
5 1315
263 263
1

Prime factors of 5260 are 2, 5,263. Prime factorization of 5260 in exponential form is:

5260 = 22×51×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 5252 and 5260.

LCM(5252,5260) = 22×51×131×1011×2631
LCM(5252,5260) = 6906380

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 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260

Least Common Multiple of 5252 and 5260 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 5260, than apply into the LCM equation.

GCF(5252,5260) = 4
LCM(5252,5260) = ( 5252 × 5260) / 4
LCM(5252,5260) = 27625520 / 4
LCM(5252,5260) = 6906380

Properties of LCM 5252 and 5260

(i) The LCM of 5260 and 5252 is associative

LCM of 5252 and 5260 = LCM of 5260 and 5252

Related Least Common Multiples of 5252

Related Least Common Multiples of 5260

Frequently Asked Questions on LCM of 5252 and 5260

1. What is the LCM of 5252 and 5260?

Answer: LCM of 5252 and 5260 is 6906380.

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 5260?

Answer: Factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260. There are 12 integers that are factors of 5260. The greatest factor of 5260 is 5260.

4. How to Find the LCM of 5252 and 5260?

Answer:

Least Common Multiple of 5252 and 5260 = 6906380

Step 1: Find the prime factorization of 5252

5252 = 2 x 2 x 13 x 101

Step 2: Find the prime factorization of 5260

5260 = 2 x 2 x 5 x 263

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

LCM = 6906380 = 2 x 2 x 5 x 13 x 101 x 263

Step 4: Therefore, the least common multiple of 5252 and 5260 is 6906380.