Least Common Multiple of 5194 and 5199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5194 and 5199 the smallest integer that is 27003606 that is divisible by both numbers.

Least Common Multiple (LCM) of 5194 and 5199 is 27003606.

LCM(5194,5199) = 27003606

LCM of 5194 and 5199

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

LCM of:
and

Least Common Multiple of 5194 and 5199

LCM of 5194 and 5199 is 27003606

Least common multiple can be found by multiplying the highest exponent prime factors of 5194 and 5199. First we will calculate the prime factors of 5194 and 5199.

Prime Factorization of 5194


2 5194
7 2597
7 371
53 53
1

Prime factors of 5194 are 2, 7,53. Prime factorization of 5194 in exponential form is:

5194 = 21×72×531

Prime Factorization of 5199


3 5199
1733 1733
1

Prime factors of 5199 are 3,1733. Prime factorization of 5199 in exponential form is:

5199 = 31×17331

Now multiplying the highest exponent prime factors to calculate the LCM of 5194 and 5199.

LCM(5194,5199) = 21×31×72×531×17331
LCM(5194,5199) = 27003606

Factors of 5194

List of positive integer factors of 5194 that divides 5194 without a remainder.

1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194

Factors of 5199

List of positive integer factors of 5199 that divides 5199 without a remainder.

1, 3, 1733, 5199

Least Common Multiple of 5194 and 5199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5194 and 5199, than apply into the LCM equation.

GCF(5194,5199) = 1
LCM(5194,5199) = ( 5194 × 5199) / 1
LCM(5194,5199) = 27003606 / 1
LCM(5194,5199) = 27003606

Properties of LCM 5194 and 5199

(i) The LCM of 5199 and 5194 is associative

LCM of 5194 and 5199 = LCM of 5199 and 5194

Related Least Common Multiples of 5194

Related Least Common Multiples of 5199

Frequently Asked Questions on LCM of 5194 and 5199

1. What is the LCM of 5194 and 5199?

Answer: LCM of 5194 and 5199 is 27003606.

2. What are the Factors of 5194?

Answer: Factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194. There are 12 integers that are factors of 5194. The greatest factor of 5194 is 5194.

3. What are the Factors of 5199?

Answer: Factors of 5199 are 1, 3, 1733, 5199. There are 4 integers that are factors of 5199. The greatest factor of 5199 is 5199.

4. How to Find the LCM of 5194 and 5199?

Answer:

Least Common Multiple of 5194 and 5199 = 27003606

Step 1: Find the prime factorization of 5194

5194 = 2 x 7 x 7 x 53

Step 2: Find the prime factorization of 5199

5199 = 3 x 1733

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

LCM = 27003606 = 2 x 3 x 7 x 7 x 53 x 1733

Step 4: Therefore, the least common multiple of 5194 and 5199 is 27003606.