Least Common Multiple of 6199 and 6205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6199 and 6205 the smallest integer that is 38464795 that is divisible by both numbers.

Least Common Multiple (LCM) of 6199 and 6205 is 38464795.

LCM(6199,6205) = 38464795

LCM of 6199 and 6205

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

LCM of:
and

Least Common Multiple of 6199 and 6205

LCM of 6199 and 6205 is 38464795

Least common multiple can be found by multiplying the highest exponent prime factors of 6199 and 6205. First we will calculate the prime factors of 6199 and 6205.

Prime Factorization of 6199


6199 6199
1

Prime factors of 6199 are 6199. Prime factorization of 6199 in exponential form is:

6199 = 61991

Prime Factorization of 6205


5 6205
17 1241
73 73
1

Prime factors of 6205 are 5, 17,73. Prime factorization of 6205 in exponential form is:

6205 = 51×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6199 and 6205.

LCM(6199,6205) = 51×171×731×61991
LCM(6199,6205) = 38464795

Factors of 6199

List of positive integer factors of 6199 that divides 6199 without a remainder.

1, 6199

Factors of 6205

List of positive integer factors of 6205 that divides 6205 without a remainder.

1, 5, 17, 73, 85, 365, 1241, 6205

Least Common Multiple of 6199 and 6205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6199 and 6205, than apply into the LCM equation.

GCF(6199,6205) = 1
LCM(6199,6205) = ( 6199 × 6205) / 1
LCM(6199,6205) = 38464795 / 1
LCM(6199,6205) = 38464795

Properties of LCM 6199 and 6205

(i) The LCM of 6205 and 6199 is associative

LCM of 6199 and 6205 = LCM of 6205 and 6199

Related Least Common Multiples of 6199

Related Least Common Multiples of 6205

Frequently Asked Questions on LCM of 6199 and 6205

1. What is the LCM of 6199 and 6205?

Answer: LCM of 6199 and 6205 is 38464795.

2. What are the Factors of 6199?

Answer: Factors of 6199 are 1, 6199. There are 2 integers that are factors of 6199. The greatest factor of 6199 is 6199.

3. What are the Factors of 6205?

Answer: Factors of 6205 are 1, 5, 17, 73, 85, 365, 1241, 6205. There are 8 integers that are factors of 6205. The greatest factor of 6205 is 6205.

4. How to Find the LCM of 6199 and 6205?

Answer:

Least Common Multiple of 6199 and 6205 = 38464795

Step 1: Find the prime factorization of 6199

6199 = 6199

Step 2: Find the prime factorization of 6205

6205 = 5 x 17 x 73

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

LCM = 38464795 = 5 x 17 x 73 x 6199

Step 4: Therefore, the least common multiple of 6199 and 6205 is 38464795.