Least Common Multiple of 6205 and 6210

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 6210 the smallest integer that is 7706610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6205 and 6210 is 7706610.

LCM(6205,6210) = 7706610

LCM of 6205 and 6210

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

LCM of:
and

Least Common Multiple of 6205 and 6210

LCM of 6205 and 6210 is 7706610

Least common multiple can be found by multiplying the highest exponent prime factors of 6205 and 6210. First we will calculate the prime factors of 6205 and 6210.

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 6210


2 6210
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 6210 are 2, 3, 5,23. Prime factorization of 6210 in exponential form is:

6210 = 21×33×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6205 and 6210.

LCM(6205,6210) = 21×33×51×171×231×731
LCM(6205,6210) = 7706610

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 6210

List of positive integer factors of 6210 that divides 6210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210

Least Common Multiple of 6205 and 6210 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 6210, than apply into the LCM equation.

GCF(6205,6210) = 5
LCM(6205,6210) = ( 6205 × 6210) / 5
LCM(6205,6210) = 38533050 / 5
LCM(6205,6210) = 7706610

Properties of LCM 6205 and 6210

(i) The LCM of 6210 and 6205 is associative

LCM of 6205 and 6210 = LCM of 6210 and 6205

Related Least Common Multiples of 6205

Related Least Common Multiples of 6210

Frequently Asked Questions on LCM of 6205 and 6210

1. What is the LCM of 6205 and 6210?

Answer: LCM of 6205 and 6210 is 7706610.

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 6210?

Answer: Factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210. There are 32 integers that are factors of 6210. The greatest factor of 6210 is 6210.

4. How to Find the LCM of 6205 and 6210?

Answer:

Least Common Multiple of 6205 and 6210 = 7706610

Step 1: Find the prime factorization of 6205

6205 = 5 x 17 x 73

Step 2: Find the prime factorization of 6210

6210 = 2 x 3 x 3 x 3 x 5 x 23

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

LCM = 7706610 = 2 x 3 x 3 x 3 x 5 x 17 x 23 x 73

Step 4: Therefore, the least common multiple of 6205 and 6210 is 7706610.