Least Common Multiple of 5194 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 5194 and 5202 the smallest integer that is 13509594 that is divisible by both numbers.

Least Common Multiple (LCM) of 5194 and 5202 is 13509594.

LCM(5194,5202) = 13509594

LCM of 5194 and 5202

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

LCM of:
and

Least Common Multiple of 5194 and 5202

LCM of 5194 and 5202 is 13509594

Least common multiple can be found by multiplying the highest exponent prime factors of 5194 and 5202. First we will calculate the prime factors of 5194 and 5202.

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

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 5194 and 5202.

LCM(5194,5202) = 21×32×72×172×531
LCM(5194,5202) = 13509594

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

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 5194 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 5194 and 5202, than apply into the LCM equation.

GCF(5194,5202) = 2
LCM(5194,5202) = ( 5194 × 5202) / 2
LCM(5194,5202) = 27019188 / 2
LCM(5194,5202) = 13509594

Properties of LCM 5194 and 5202

(i) The LCM of 5202 and 5194 is associative

LCM of 5194 and 5202 = LCM of 5202 and 5194

Related Least Common Multiples of 5194

Related Least Common Multiples of 5202

Frequently Asked Questions on LCM of 5194 and 5202

1. What is the LCM of 5194 and 5202?

Answer: LCM of 5194 and 5202 is 13509594.

2. 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.

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 5194 and 5202?

Answer:

Least Common Multiple of 5194 and 5202 = 13509594

Step 1: Find the prime factorization of 5194

5194 = 2 x 7 x 7 x 53

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 = 13509594 = 2 x 3 x 3 x 7 x 7 x 17 x 17 x 53

Step 4: Therefore, the least common multiple of 5194 and 5202 is 13509594.