Least Common Multiple of 5190 and 5194

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 5194 the smallest integer that is 13478430 that is divisible by both numbers.

Least Common Multiple (LCM) of 5190 and 5194 is 13478430.

LCM(5190,5194) = 13478430

LCM of 5190 and 5194

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

LCM of:
and

Least Common Multiple of 5190 and 5194

LCM of 5190 and 5194 is 13478430

Least common multiple can be found by multiplying the highest exponent prime factors of 5190 and 5194. First we will calculate the prime factors of 5190 and 5194.

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 5194


2 5194
7 2597
7 371
53 53
1

Prime factors of 5194 are 2, 7,53. Prime factorization of 5194 in exponential form is:

5194 = 21×72×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5190 and 5194.

LCM(5190,5194) = 21×31×51×72×531×1731
LCM(5190,5194) = 13478430

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 5194

List of positive integer factors of 5194 that divides 5194 without a remainder.

1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194

Least Common Multiple of 5190 and 5194 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 5194, than apply into the LCM equation.

GCF(5190,5194) = 2
LCM(5190,5194) = ( 5190 × 5194) / 2
LCM(5190,5194) = 26956860 / 2
LCM(5190,5194) = 13478430

Properties of LCM 5190 and 5194

(i) The LCM of 5194 and 5190 is associative

LCM of 5190 and 5194 = LCM of 5194 and 5190

Related Least Common Multiples of 5190

Related Least Common Multiples of 5194

Frequently Asked Questions on LCM of 5190 and 5194

1. What is the LCM of 5190 and 5194?

Answer: LCM of 5190 and 5194 is 13478430.

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 5194?

Answer: Factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194. There are 12 integers that are factors of 5194. The greatest factor of 5194 is 5194.

4. How to Find the LCM of 5190 and 5194?

Answer:

Least Common Multiple of 5190 and 5194 = 13478430

Step 1: Find the prime factorization of 5190

5190 = 2 x 3 x 5 x 173

Step 2: Find the prime factorization of 5194

5194 = 2 x 7 x 7 x 53

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

LCM = 13478430 = 2 x 3 x 5 x 7 x 7 x 53 x 173

Step 4: Therefore, the least common multiple of 5190 and 5194 is 13478430.