Least Common Multiple of 6196 and 6200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6196 and 6200 the smallest integer that is 9603800 that is divisible by both numbers.

Least Common Multiple (LCM) of 6196 and 6200 is 9603800.

LCM(6196,6200) = 9603800

LCM of 6196 and 6200

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

LCM of:
and

Least Common Multiple of 6196 and 6200

LCM of 6196 and 6200 is 9603800

Least common multiple can be found by multiplying the highest exponent prime factors of 6196 and 6200. First we will calculate the prime factors of 6196 and 6200.

Prime Factorization of 6196


2 6196
2 3098
1549 1549
1

Prime factors of 6196 are 2,1549. Prime factorization of 6196 in exponential form is:

6196 = 22×15491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6196 and 6200.

LCM(6196,6200) = 23×52×311×15491
LCM(6196,6200) = 9603800

Factors of 6196

List of positive integer factors of 6196 that divides 6196 without a remainder.

1, 2, 4, 1549, 3098, 6196

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

Least Common Multiple of 6196 and 6200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6196 and 6200, than apply into the LCM equation.

GCF(6196,6200) = 4
LCM(6196,6200) = ( 6196 × 6200) / 4
LCM(6196,6200) = 38415200 / 4
LCM(6196,6200) = 9603800

Properties of LCM 6196 and 6200

(i) The LCM of 6200 and 6196 is associative

LCM of 6196 and 6200 = LCM of 6200 and 6196

Related Least Common Multiples of 6196

Related Least Common Multiples of 6200

Frequently Asked Questions on LCM of 6196 and 6200

1. What is the LCM of 6196 and 6200?

Answer: LCM of 6196 and 6200 is 9603800.

2. What are the Factors of 6196?

Answer: Factors of 6196 are 1, 2, 4, 1549, 3098, 6196. There are 6 integers that are factors of 6196. The greatest factor of 6196 is 6196.

3. 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.

4. How to Find the LCM of 6196 and 6200?

Answer:

Least Common Multiple of 6196 and 6200 = 9603800

Step 1: Find the prime factorization of 6196

6196 = 2 x 2 x 1549

Step 2: Find the prime factorization of 6200

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

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

LCM = 9603800 = 2 x 2 x 2 x 5 x 5 x 31 x 1549

Step 4: Therefore, the least common multiple of 6196 and 6200 is 9603800.