Least Common Multiple of 5200 and 5204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5200 and 5204 the smallest integer that is 6765200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5200 and 5204 is 6765200.

LCM(5200,5204) = 6765200

LCM of 5200 and 5204

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

LCM of:
and

Least Common Multiple of 5200 and 5204

LCM of 5200 and 5204 is 6765200

Least common multiple can be found by multiplying the highest exponent prime factors of 5200 and 5204. First we will calculate the prime factors of 5200 and 5204.

Prime Factorization of 5200


2 5200
2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 5200 are 2, 5,13. Prime factorization of 5200 in exponential form is:

5200 = 24×52×131

Prime Factorization of 5204


2 5204
2 2602
1301 1301
1

Prime factors of 5204 are 2,1301. Prime factorization of 5204 in exponential form is:

5204 = 22×13011

Now multiplying the highest exponent prime factors to calculate the LCM of 5200 and 5204.

LCM(5200,5204) = 24×52×131×13011
LCM(5200,5204) = 6765200

Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200

Factors of 5204

List of positive integer factors of 5204 that divides 5204 without a remainder.

1, 2, 4, 1301, 2602, 5204

Least Common Multiple of 5200 and 5204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5200 and 5204, than apply into the LCM equation.

GCF(5200,5204) = 4
LCM(5200,5204) = ( 5200 × 5204) / 4
LCM(5200,5204) = 27060800 / 4
LCM(5200,5204) = 6765200

Properties of LCM 5200 and 5204

(i) The LCM of 5204 and 5200 is associative

LCM of 5200 and 5204 = LCM of 5204 and 5200

Related Least Common Multiples of 5200

Related Least Common Multiples of 5204

Frequently Asked Questions on LCM of 5200 and 5204

1. What is the LCM of 5200 and 5204?

Answer: LCM of 5200 and 5204 is 6765200.

2. What are the Factors of 5200?

Answer: Factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200. There are 30 integers that are factors of 5200. The greatest factor of 5200 is 5200.

3. What are the Factors of 5204?

Answer: Factors of 5204 are 1, 2, 4, 1301, 2602, 5204. There are 6 integers that are factors of 5204. The greatest factor of 5204 is 5204.

4. How to Find the LCM of 5200 and 5204?

Answer:

Least Common Multiple of 5200 and 5204 = 6765200

Step 1: Find the prime factorization of 5200

5200 = 2 x 2 x 2 x 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 5204

5204 = 2 x 2 x 1301

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

LCM = 6765200 = 2 x 2 x 2 x 2 x 5 x 5 x 13 x 1301

Step 4: Therefore, the least common multiple of 5200 and 5204 is 6765200.