Least Common Multiple of 6200 and 6203

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 6203 the smallest integer that is 38458600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6200 and 6203 is 38458600.

LCM(6200,6203) = 38458600

LCM of 6200 and 6203

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

LCM of:
and

Least Common Multiple of 6200 and 6203

LCM of 6200 and 6203 is 38458600

Least common multiple can be found by multiplying the highest exponent prime factors of 6200 and 6203. First we will calculate the prime factors of 6200 and 6203.

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 6203


6203 6203
1

Prime factors of 6203 are 6203. Prime factorization of 6203 in exponential form is:

6203 = 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 6200 and 6203.

LCM(6200,6203) = 23×52×311×62031
LCM(6200,6203) = 38458600

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 6203

List of positive integer factors of 6203 that divides 6203 without a remainder.

1, 6203

Least Common Multiple of 6200 and 6203 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 6203, than apply into the LCM equation.

GCF(6200,6203) = 1
LCM(6200,6203) = ( 6200 × 6203) / 1
LCM(6200,6203) = 38458600 / 1
LCM(6200,6203) = 38458600

Properties of LCM 6200 and 6203

(i) The LCM of 6203 and 6200 is associative

LCM of 6200 and 6203 = LCM of 6203 and 6200

Related Least Common Multiples of 6200

Related Least Common Multiples of 6203

Frequently Asked Questions on LCM of 6200 and 6203

1. What is the LCM of 6200 and 6203?

Answer: LCM of 6200 and 6203 is 38458600.

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 6203?

Answer: Factors of 6203 are 1, 6203. There are 2 integers that are factors of 6203. The greatest factor of 6203 is 6203.

4. How to Find the LCM of 6200 and 6203?

Answer:

Least Common Multiple of 6200 and 6203 = 38458600

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 6203

6203 = 6203

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

LCM = 38458600 = 2 x 2 x 2 x 5 x 5 x 31 x 6203

Step 4: Therefore, the least common multiple of 6200 and 6203 is 38458600.