Least Common Multiple of 6205 and 6207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6205 and 6207 the smallest integer that is 38514435 that is divisible by both numbers.

Least Common Multiple (LCM) of 6205 and 6207 is 38514435.

LCM(6205,6207) = 38514435

LCM of 6205 and 6207

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

LCM of:
and

Least Common Multiple of 6205 and 6207

LCM of 6205 and 6207 is 38514435

Least common multiple can be found by multiplying the highest exponent prime factors of 6205 and 6207. First we will calculate the prime factors of 6205 and 6207.

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

Prime Factorization of 6207


3 6207
2069 2069
1

Prime factors of 6207 are 3,2069. Prime factorization of 6207 in exponential form is:

6207 = 31×20691

Now multiplying the highest exponent prime factors to calculate the LCM of 6205 and 6207.

LCM(6205,6207) = 31×51×171×731×20691
LCM(6205,6207) = 38514435

Factors of 6205

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

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

Factors of 6207

List of positive integer factors of 6207 that divides 6207 without a remainder.

1, 3, 2069, 6207

Least Common Multiple of 6205 and 6207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6205 and 6207, than apply into the LCM equation.

GCF(6205,6207) = 1
LCM(6205,6207) = ( 6205 × 6207) / 1
LCM(6205,6207) = 38514435 / 1
LCM(6205,6207) = 38514435

Properties of LCM 6205 and 6207

(i) The LCM of 6207 and 6205 is associative

LCM of 6205 and 6207 = LCM of 6207 and 6205

Related Least Common Multiples of 6205

Related Least Common Multiples of 6207

Frequently Asked Questions on LCM of 6205 and 6207

1. What is the LCM of 6205 and 6207?

Answer: LCM of 6205 and 6207 is 38514435.

2. 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.

3. What are the Factors of 6207?

Answer: Factors of 6207 are 1, 3, 2069, 6207. There are 4 integers that are factors of 6207. The greatest factor of 6207 is 6207.

4. How to Find the LCM of 6205 and 6207?

Answer:

Least Common Multiple of 6205 and 6207 = 38514435

Step 1: Find the prime factorization of 6205

6205 = 5 x 17 x 73

Step 2: Find the prime factorization of 6207

6207 = 3 x 2069

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

LCM = 38514435 = 3 x 5 x 17 x 73 x 2069

Step 4: Therefore, the least common multiple of 6205 and 6207 is 38514435.