Least Common Multiple of 5192 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 5192 and 5198 the smallest integer that is 13494008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5192 and 5198 is 13494008.

LCM(5192,5198) = 13494008

LCM of 5192 and 5198

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

LCM of:
and

Least Common Multiple of 5192 and 5198

LCM of 5192 and 5198 is 13494008

Least common multiple can be found by multiplying the highest exponent prime factors of 5192 and 5198. First we will calculate the prime factors of 5192 and 5198.

Prime Factorization of 5192


2 5192
2 2596
2 1298
11 649
59 59
1

Prime factors of 5192 are 2, 11,59. Prime factorization of 5192 in exponential form is:

5192 = 23×111×591

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 5192 and 5198.

LCM(5192,5198) = 23×111×231×591×1131
LCM(5192,5198) = 13494008

Factors of 5192

List of positive integer factors of 5192 that divides 5192 without a remainder.

1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192

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 5192 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 5192 and 5198, than apply into the LCM equation.

GCF(5192,5198) = 2
LCM(5192,5198) = ( 5192 × 5198) / 2
LCM(5192,5198) = 26988016 / 2
LCM(5192,5198) = 13494008

Properties of LCM 5192 and 5198

(i) The LCM of 5198 and 5192 is associative

LCM of 5192 and 5198 = LCM of 5198 and 5192

Related Least Common Multiples of 5192

Related Least Common Multiples of 5198

Frequently Asked Questions on LCM of 5192 and 5198

1. What is the LCM of 5192 and 5198?

Answer: LCM of 5192 and 5198 is 13494008.

2. What are the Factors of 5192?

Answer: Factors of 5192 are 1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192. There are 16 integers that are factors of 5192. The greatest factor of 5192 is 5192.

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 5192 and 5198?

Answer:

Least Common Multiple of 5192 and 5198 = 13494008

Step 1: Find the prime factorization of 5192

5192 = 2 x 2 x 2 x 11 x 59

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 = 13494008 = 2 x 2 x 2 x 11 x 23 x 59 x 113

Step 4: Therefore, the least common multiple of 5192 and 5198 is 13494008.