Least Common Multiple of 5198 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 5198 and 5199 the smallest integer that is 27024402 that is divisible by both numbers.

Least Common Multiple (LCM) of 5198 and 5199 is 27024402.

LCM(5198,5199) = 27024402

LCM of 5198 and 5199

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

LCM of:
and

Least Common Multiple of 5198 and 5199

LCM of 5198 and 5199 is 27024402

Least common multiple can be found by multiplying the highest exponent prime factors of 5198 and 5199. First we will calculate the prime factors of 5198 and 5199.

Prime Factorization of 5198


2 5198
23 2599
113 113
1

Prime factors of 5198 are 2, 23,113. Prime factorization of 5198 in exponential form is:

5198 = 21×231×1131

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 5198 and 5199.

LCM(5198,5199) = 21×31×231×1131×17331
LCM(5198,5199) = 27024402

Factors of 5198

List of positive integer factors of 5198 that divides 5198 without a remainder.

1, 2, 23, 46, 113, 226, 2599, 5198

Factors of 5199

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

1, 3, 1733, 5199

Least Common Multiple of 5198 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 5198 and 5199, than apply into the LCM equation.

GCF(5198,5199) = 1
LCM(5198,5199) = ( 5198 × 5199) / 1
LCM(5198,5199) = 27024402 / 1
LCM(5198,5199) = 27024402

Properties of LCM 5198 and 5199

(i) The LCM of 5199 and 5198 is associative

LCM of 5198 and 5199 = LCM of 5199 and 5198

Related Least Common Multiples of 5198

Related Least Common Multiples of 5199

Frequently Asked Questions on LCM of 5198 and 5199

1. What is the LCM of 5198 and 5199?

Answer: LCM of 5198 and 5199 is 27024402.

2. What are the Factors of 5198?

Answer: Factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198. There are 8 integers that are factors of 5198. The greatest factor of 5198 is 5198.

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 5198 and 5199?

Answer:

Least Common Multiple of 5198 and 5199 = 27024402

Step 1: Find the prime factorization of 5198

5198 = 2 x 23 x 113

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 = 27024402 = 2 x 3 x 23 x 113 x 1733

Step 4: Therefore, the least common multiple of 5198 and 5199 is 27024402.