Least Common Multiple of 5199 and 5205

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 5205 the smallest integer that is 9020265 that is divisible by both numbers.

Least Common Multiple (LCM) of 5199 and 5205 is 9020265.

LCM(5199,5205) = 9020265

LCM of 5199 and 5205

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

LCM of:
and

Least Common Multiple of 5199 and 5205

LCM of 5199 and 5205 is 9020265

Least common multiple can be found by multiplying the highest exponent prime factors of 5199 and 5205. First we will calculate the prime factors of 5199 and 5205.

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 5205


3 5205
5 1735
347 347
1

Prime factors of 5205 are 3, 5,347. Prime factorization of 5205 in exponential form is:

5205 = 31×51×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 5199 and 5205.

LCM(5199,5205) = 31×51×3471×17331
LCM(5199,5205) = 9020265

Factors of 5199

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

1, 3, 1733, 5199

Factors of 5205

List of positive integer factors of 5205 that divides 5205 without a remainder.

1, 3, 5, 15, 347, 1041, 1735, 5205

Least Common Multiple of 5199 and 5205 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 5205, than apply into the LCM equation.

GCF(5199,5205) = 3
LCM(5199,5205) = ( 5199 × 5205) / 3
LCM(5199,5205) = 27060795 / 3
LCM(5199,5205) = 9020265

Properties of LCM 5199 and 5205

(i) The LCM of 5205 and 5199 is associative

LCM of 5199 and 5205 = LCM of 5205 and 5199

Related Least Common Multiples of 5199

Related Least Common Multiples of 5205

Frequently Asked Questions on LCM of 5199 and 5205

1. What is the LCM of 5199 and 5205?

Answer: LCM of 5199 and 5205 is 9020265.

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 5205?

Answer: Factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205. There are 8 integers that are factors of 5205. The greatest factor of 5205 is 5205.

4. How to Find the LCM of 5199 and 5205?

Answer:

Least Common Multiple of 5199 and 5205 = 9020265

Step 1: Find the prime factorization of 5199

5199 = 3 x 1733

Step 2: Find the prime factorization of 5205

5205 = 3 x 5 x 347

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

LCM = 9020265 = 3 x 5 x 347 x 1733

Step 4: Therefore, the least common multiple of 5199 and 5205 is 9020265.