Least Common Multiple of 6200 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 6200 and 6205 the smallest integer that is 7694200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6200 and 6205 is 7694200.

LCM(6200,6205) = 7694200

LCM of 6200 and 6205

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

LCM of:
and

Least Common Multiple of 6200 and 6205

LCM of 6200 and 6205 is 7694200

Least common multiple can be found by multiplying the highest exponent prime factors of 6200 and 6205. First we will calculate the prime factors of 6200 and 6205.

Prime Factorization of 6200


2 6200
2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 6200 are 2, 5,31. Prime factorization of 6200 in exponential form is:

6200 = 23×52×311

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 6200 and 6205.

LCM(6200,6205) = 23×52×171×311×731
LCM(6200,6205) = 7694200

Factors of 6200

List of positive integer factors of 6200 that divides 6200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 155, 200, 248, 310, 620, 775, 1240, 1550, 3100, 6200

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 6200 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 6200 and 6205, than apply into the LCM equation.

GCF(6200,6205) = 5
LCM(6200,6205) = ( 6200 × 6205) / 5
LCM(6200,6205) = 38471000 / 5
LCM(6200,6205) = 7694200

Properties of LCM 6200 and 6205

(i) The LCM of 6205 and 6200 is associative

LCM of 6200 and 6205 = LCM of 6205 and 6200

Related Least Common Multiples of 6200

Related Least Common Multiples of 6205

Frequently Asked Questions on LCM of 6200 and 6205

1. What is the LCM of 6200 and 6205?

Answer: LCM of 6200 and 6205 is 7694200.

2. What are the Factors of 6200?

Answer: Factors of 6200 are 1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 155, 200, 248, 310, 620, 775, 1240, 1550, 3100, 6200. There are 24 integers that are factors of 6200. The greatest factor of 6200 is 6200.

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 6200 and 6205?

Answer:

Least Common Multiple of 6200 and 6205 = 7694200

Step 1: Find the prime factorization of 6200

6200 = 2 x 2 x 2 x 5 x 5 x 31

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 = 7694200 = 2 x 2 x 2 x 5 x 5 x 17 x 31 x 73

Step 4: Therefore, the least common multiple of 6200 and 6205 is 7694200.