Least Common Multiple of 5194 and 5201

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 5201 the smallest integer that is 3859142 that is divisible by both numbers.

Least Common Multiple (LCM) of 5194 and 5201 is 3859142.

LCM(5194,5201) = 3859142

LCM of 5194 and 5201

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

LCM of:
and

Least Common Multiple of 5194 and 5201

LCM of 5194 and 5201 is 3859142

Least common multiple can be found by multiplying the highest exponent prime factors of 5194 and 5201. First we will calculate the prime factors of 5194 and 5201.

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 5201


7 5201
743 743
1

Prime factors of 5201 are 7,743. Prime factorization of 5201 in exponential form is:

5201 = 71×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 5194 and 5201.

LCM(5194,5201) = 21×72×531×7431
LCM(5194,5201) = 3859142

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 5201

List of positive integer factors of 5201 that divides 5201 without a remainder.

1, 7, 743, 5201

Least Common Multiple of 5194 and 5201 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 5201, than apply into the LCM equation.

GCF(5194,5201) = 7
LCM(5194,5201) = ( 5194 × 5201) / 7
LCM(5194,5201) = 27013994 / 7
LCM(5194,5201) = 3859142

Properties of LCM 5194 and 5201

(i) The LCM of 5201 and 5194 is associative

LCM of 5194 and 5201 = LCM of 5201 and 5194

Related Least Common Multiples of 5194

Related Least Common Multiples of 5201

Frequently Asked Questions on LCM of 5194 and 5201

1. What is the LCM of 5194 and 5201?

Answer: LCM of 5194 and 5201 is 3859142.

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 5201?

Answer: Factors of 5201 are 1, 7, 743, 5201. There are 4 integers that are factors of 5201. The greatest factor of 5201 is 5201.

4. How to Find the LCM of 5194 and 5201?

Answer:

Least Common Multiple of 5194 and 5201 = 3859142

Step 1: Find the prime factorization of 5194

5194 = 2 x 7 x 7 x 53

Step 2: Find the prime factorization of 5201

5201 = 7 x 743

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

LCM = 3859142 = 2 x 7 x 7 x 53 x 743

Step 4: Therefore, the least common multiple of 5194 and 5201 is 3859142.