Least Common Multiple of 5199 and 5206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5199 and 5206 the smallest integer that is 27065994 that is divisible by both numbers.

Least Common Multiple (LCM) of 5199 and 5206 is 27065994.

LCM(5199,5206) = 27065994

LCM of 5199 and 5206

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

LCM of:
and

Least Common Multiple of 5199 and 5206

LCM of 5199 and 5206 is 27065994

Least common multiple can be found by multiplying the highest exponent prime factors of 5199 and 5206. First we will calculate the prime factors of 5199 and 5206.

Prime Factorization of 5199


3 5199
1733 1733
1

Prime factors of 5199 are 3,1733. Prime factorization of 5199 in exponential form is:

5199 = 31×17331

Prime Factorization of 5206


2 5206
19 2603
137 137
1

Prime factors of 5206 are 2, 19,137. Prime factorization of 5206 in exponential form is:

5206 = 21×191×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5199 and 5206.

LCM(5199,5206) = 21×31×191×1371×17331
LCM(5199,5206) = 27065994

Factors of 5199

List of positive integer factors of 5199 that divides 5199 without a remainder.

1, 3, 1733, 5199

Factors of 5206

List of positive integer factors of 5206 that divides 5206 without a remainder.

1, 2, 19, 38, 137, 274, 2603, 5206

Least Common Multiple of 5199 and 5206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5199 and 5206, than apply into the LCM equation.

GCF(5199,5206) = 1
LCM(5199,5206) = ( 5199 × 5206) / 1
LCM(5199,5206) = 27065994 / 1
LCM(5199,5206) = 27065994

Properties of LCM 5199 and 5206

(i) The LCM of 5206 and 5199 is associative

LCM of 5199 and 5206 = LCM of 5206 and 5199

Related Least Common Multiples of 5199

Related Least Common Multiples of 5206

Frequently Asked Questions on LCM of 5199 and 5206

1. What is the LCM of 5199 and 5206?

Answer: LCM of 5199 and 5206 is 27065994.

2. What are the Factors of 5199?

Answer: Factors of 5199 are 1, 3, 1733, 5199. There are 4 integers that are factors of 5199. The greatest factor of 5199 is 5199.

3. What are the Factors of 5206?

Answer: Factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206. There are 8 integers that are factors of 5206. The greatest factor of 5206 is 5206.

4. How to Find the LCM of 5199 and 5206?

Answer:

Least Common Multiple of 5199 and 5206 = 27065994

Step 1: Find the prime factorization of 5199

5199 = 3 x 1733

Step 2: Find the prime factorization of 5206

5206 = 2 x 19 x 137

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

LCM = 27065994 = 2 x 3 x 19 x 137 x 1733

Step 4: Therefore, the least common multiple of 5199 and 5206 is 27065994.