Least Common Multiple of 6200 and 6206

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 6206 the smallest integer that is 19238600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6200 and 6206 is 19238600.

LCM(6200,6206) = 19238600

LCM of 6200 and 6206

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

LCM of:
and

Least Common Multiple of 6200 and 6206

LCM of 6200 and 6206 is 19238600

Least common multiple can be found by multiplying the highest exponent prime factors of 6200 and 6206. First we will calculate the prime factors of 6200 and 6206.

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 6206


2 6206
29 3103
107 107
1

Prime factors of 6206 are 2, 29,107. Prime factorization of 6206 in exponential form is:

6206 = 21×291×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6200 and 6206.

LCM(6200,6206) = 23×52×291×311×1071
LCM(6200,6206) = 19238600

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 6206

List of positive integer factors of 6206 that divides 6206 without a remainder.

1, 2, 29, 58, 107, 214, 3103, 6206

Least Common Multiple of 6200 and 6206 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 6206, than apply into the LCM equation.

GCF(6200,6206) = 2
LCM(6200,6206) = ( 6200 × 6206) / 2
LCM(6200,6206) = 38477200 / 2
LCM(6200,6206) = 19238600

Properties of LCM 6200 and 6206

(i) The LCM of 6206 and 6200 is associative

LCM of 6200 and 6206 = LCM of 6206 and 6200

Related Least Common Multiples of 6200

Related Least Common Multiples of 6206

Frequently Asked Questions on LCM of 6200 and 6206

1. What is the LCM of 6200 and 6206?

Answer: LCM of 6200 and 6206 is 19238600.

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 6206?

Answer: Factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206. There are 8 integers that are factors of 6206. The greatest factor of 6206 is 6206.

4. How to Find the LCM of 6200 and 6206?

Answer:

Least Common Multiple of 6200 and 6206 = 19238600

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 6206

6206 = 2 x 29 x 107

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

LCM = 19238600 = 2 x 2 x 2 x 5 x 5 x 29 x 31 x 107

Step 4: Therefore, the least common multiple of 6200 and 6206 is 19238600.