Least Common Multiple of 5190 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 5190 and 5198 the smallest integer that is 13488810 that is divisible by both numbers.

Least Common Multiple (LCM) of 5190 and 5198 is 13488810.

LCM(5190,5198) = 13488810

LCM of 5190 and 5198

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

LCM of:
and

Least Common Multiple of 5190 and 5198

LCM of 5190 and 5198 is 13488810

Least common multiple can be found by multiplying the highest exponent prime factors of 5190 and 5198. First we will calculate the prime factors of 5190 and 5198.

Prime Factorization of 5190


2 5190
3 2595
5 865
173 173
1

Prime factors of 5190 are 2, 3, 5,173. Prime factorization of 5190 in exponential form is:

5190 = 21×31×51×1731

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 5190 and 5198.

LCM(5190,5198) = 21×31×51×231×1131×1731
LCM(5190,5198) = 13488810

Factors of 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190

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 5190 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 5190 and 5198, than apply into the LCM equation.

GCF(5190,5198) = 2
LCM(5190,5198) = ( 5190 × 5198) / 2
LCM(5190,5198) = 26977620 / 2
LCM(5190,5198) = 13488810

Properties of LCM 5190 and 5198

(i) The LCM of 5198 and 5190 is associative

LCM of 5190 and 5198 = LCM of 5198 and 5190

Related Least Common Multiples of 5190

Related Least Common Multiples of 5198

Frequently Asked Questions on LCM of 5190 and 5198

1. What is the LCM of 5190 and 5198?

Answer: LCM of 5190 and 5198 is 13488810.

2. What are the Factors of 5190?

Answer: Factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190. There are 16 integers that are factors of 5190. The greatest factor of 5190 is 5190.

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 5190 and 5198?

Answer:

Least Common Multiple of 5190 and 5198 = 13488810

Step 1: Find the prime factorization of 5190

5190 = 2 x 3 x 5 x 173

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 = 13488810 = 2 x 3 x 5 x 23 x 113 x 173

Step 4: Therefore, the least common multiple of 5190 and 5198 is 13488810.