Least Common Multiple of 5200 and 5207

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 5207 the smallest integer that is 27076400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5200 and 5207 is 27076400.

LCM(5200,5207) = 27076400

LCM of 5200 and 5207

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

LCM of:
and

Least Common Multiple of 5200 and 5207

LCM of 5200 and 5207 is 27076400

Least common multiple can be found by multiplying the highest exponent prime factors of 5200 and 5207. First we will calculate the prime factors of 5200 and 5207.

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 5207


41 5207
127 127
1

Prime factors of 5207 are 41,127. Prime factorization of 5207 in exponential form is:

5207 = 411×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5200 and 5207.

LCM(5200,5207) = 24×52×131×411×1271
LCM(5200,5207) = 27076400

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 5207

List of positive integer factors of 5207 that divides 5207 without a remainder.

1, 41, 127, 5207

Least Common Multiple of 5200 and 5207 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 5207, than apply into the LCM equation.

GCF(5200,5207) = 1
LCM(5200,5207) = ( 5200 × 5207) / 1
LCM(5200,5207) = 27076400 / 1
LCM(5200,5207) = 27076400

Properties of LCM 5200 and 5207

(i) The LCM of 5207 and 5200 is associative

LCM of 5200 and 5207 = LCM of 5207 and 5200

Related Least Common Multiples of 5200

Related Least Common Multiples of 5207

Frequently Asked Questions on LCM of 5200 and 5207

1. What is the LCM of 5200 and 5207?

Answer: LCM of 5200 and 5207 is 27076400.

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 5207?

Answer: Factors of 5207 are 1, 41, 127, 5207. There are 4 integers that are factors of 5207. The greatest factor of 5207 is 5207.

4. How to Find the LCM of 5200 and 5207?

Answer:

Least Common Multiple of 5200 and 5207 = 27076400

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 5207

5207 = 41 x 127

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

LCM = 27076400 = 2 x 2 x 2 x 2 x 5 x 5 x 13 x 41 x 127

Step 4: Therefore, the least common multiple of 5200 and 5207 is 27076400.