Least Common Multiple of 5195 and 5198

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 5198 the smallest integer that is 27003610 that is divisible by both numbers.

Least Common Multiple (LCM) of 5195 and 5198 is 27003610.

LCM(5195,5198) = 27003610

LCM of 5195 and 5198

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

LCM of:
and

Least Common Multiple of 5195 and 5198

LCM of 5195 and 5198 is 27003610

Least common multiple can be found by multiplying the highest exponent prime factors of 5195 and 5198. First we will calculate the prime factors of 5195 and 5198.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 5195 and 5198.

LCM(5195,5198) = 21×51×231×1131×10391
LCM(5195,5198) = 27003610

Factors of 5195

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

1, 5, 1039, 5195

Factors of 5198

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

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

Least Common Multiple of 5195 and 5198 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 5198, than apply into the LCM equation.

GCF(5195,5198) = 1
LCM(5195,5198) = ( 5195 × 5198) / 1
LCM(5195,5198) = 27003610 / 1
LCM(5195,5198) = 27003610

Properties of LCM 5195 and 5198

(i) The LCM of 5198 and 5195 is associative

LCM of 5195 and 5198 = LCM of 5198 and 5195

Related Least Common Multiples of 5195

Related Least Common Multiples of 5198

Frequently Asked Questions on LCM of 5195 and 5198

1. What is the LCM of 5195 and 5198?

Answer: LCM of 5195 and 5198 is 27003610.

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 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.

4. How to Find the LCM of 5195 and 5198?

Answer:

Least Common Multiple of 5195 and 5198 = 27003610

Step 1: Find the prime factorization of 5195

5195 = 5 x 1039

Step 2: Find the prime factorization of 5198

5198 = 2 x 23 x 113

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

LCM = 27003610 = 2 x 5 x 23 x 113 x 1039

Step 4: Therefore, the least common multiple of 5195 and 5198 is 27003610.