Least Common Multiple of 5198 and 5202

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 5202 the smallest integer that is 13519998 that is divisible by both numbers.

Least Common Multiple (LCM) of 5198 and 5202 is 13519998.

LCM(5198,5202) = 13519998

LCM of 5198 and 5202

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

LCM of:
and

Least Common Multiple of 5198 and 5202

LCM of 5198 and 5202 is 13519998

Least common multiple can be found by multiplying the highest exponent prime factors of 5198 and 5202. First we will calculate the prime factors of 5198 and 5202.

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 5202


2 5202
3 2601
3 867
17 289
17 17
1

Prime factors of 5202 are 2, 3,17. Prime factorization of 5202 in exponential form is:

5202 = 21×32×172

Now multiplying the highest exponent prime factors to calculate the LCM of 5198 and 5202.

LCM(5198,5202) = 21×32×172×231×1131
LCM(5198,5202) = 13519998

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 5202

List of positive integer factors of 5202 that divides 5202 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202

Least Common Multiple of 5198 and 5202 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 5202, than apply into the LCM equation.

GCF(5198,5202) = 2
LCM(5198,5202) = ( 5198 × 5202) / 2
LCM(5198,5202) = 27039996 / 2
LCM(5198,5202) = 13519998

Properties of LCM 5198 and 5202

(i) The LCM of 5202 and 5198 is associative

LCM of 5198 and 5202 = LCM of 5202 and 5198

Related Least Common Multiples of 5198

Related Least Common Multiples of 5202

Frequently Asked Questions on LCM of 5198 and 5202

1. What is the LCM of 5198 and 5202?

Answer: LCM of 5198 and 5202 is 13519998.

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 5202?

Answer: Factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202. There are 18 integers that are factors of 5202. The greatest factor of 5202 is 5202.

4. How to Find the LCM of 5198 and 5202?

Answer:

Least Common Multiple of 5198 and 5202 = 13519998

Step 1: Find the prime factorization of 5198

5198 = 2 x 23 x 113

Step 2: Find the prime factorization of 5202

5202 = 2 x 3 x 3 x 17 x 17

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

LCM = 13519998 = 2 x 3 x 3 x 17 x 17 x 23 x 113

Step 4: Therefore, the least common multiple of 5198 and 5202 is 13519998.