Least Common Multiple of 5195 and 5200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5195 and 5200 the smallest integer that is 5402800 that is divisible by both numbers.

Least Common Multiple (LCM) of 5195 and 5200 is 5402800.

LCM(5195,5200) = 5402800

LCM of 5195 and 5200

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

LCM of:
and

Least Common Multiple of 5195 and 5200

LCM of 5195 and 5200 is 5402800

Least common multiple can be found by multiplying the highest exponent prime factors of 5195 and 5200. First we will calculate the prime factors of 5195 and 5200.

Prime Factorization of 5195


5 5195
1039 1039
1

Prime factors of 5195 are 5,1039. Prime factorization of 5195 in exponential form is:

5195 = 51×10391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5195 and 5200.

LCM(5195,5200) = 24×52×131×10391
LCM(5195,5200) = 5402800

Factors of 5195

List of positive integer factors of 5195 that divides 5195 without a remainder.

1, 5, 1039, 5195

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

Least Common Multiple of 5195 and 5200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5195 and 5200, than apply into the LCM equation.

GCF(5195,5200) = 5
LCM(5195,5200) = ( 5195 × 5200) / 5
LCM(5195,5200) = 27014000 / 5
LCM(5195,5200) = 5402800

Properties of LCM 5195 and 5200

(i) The LCM of 5200 and 5195 is associative

LCM of 5195 and 5200 = LCM of 5200 and 5195

Related Least Common Multiples of 5195

Related Least Common Multiples of 5200

Frequently Asked Questions on LCM of 5195 and 5200

1. What is the LCM of 5195 and 5200?

Answer: LCM of 5195 and 5200 is 5402800.

2. What are the Factors of 5195?

Answer: Factors of 5195 are 1, 5, 1039, 5195. There are 4 integers that are factors of 5195. The greatest factor of 5195 is 5195.

3. 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.

4. How to Find the LCM of 5195 and 5200?

Answer:

Least Common Multiple of 5195 and 5200 = 5402800

Step 1: Find the prime factorization of 5195

5195 = 5 x 1039

Step 2: Find the prime factorization of 5200

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

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

LCM = 5402800 = 2 x 2 x 2 x 2 x 5 x 5 x 13 x 1039

Step 4: Therefore, the least common multiple of 5195 and 5200 is 5402800.