Least Common Multiple of 6200 and 6201

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 6201 the smallest integer that is 38446200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6200 and 6201 is 38446200.

LCM(6200,6201) = 38446200

LCM of 6200 and 6201

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

LCM of:
and

Least Common Multiple of 6200 and 6201

LCM of 6200 and 6201 is 38446200

Least common multiple can be found by multiplying the highest exponent prime factors of 6200 and 6201. First we will calculate the prime factors of 6200 and 6201.

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 6201


3 6201
3 2067
13 689
53 53
1

Prime factors of 6201 are 3, 13,53. Prime factorization of 6201 in exponential form is:

6201 = 32×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6200 and 6201.

LCM(6200,6201) = 23×32×52×131×311×531
LCM(6200,6201) = 38446200

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 6201

List of positive integer factors of 6201 that divides 6201 without a remainder.

1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201

Least Common Multiple of 6200 and 6201 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 6201, than apply into the LCM equation.

GCF(6200,6201) = 1
LCM(6200,6201) = ( 6200 × 6201) / 1
LCM(6200,6201) = 38446200 / 1
LCM(6200,6201) = 38446200

Properties of LCM 6200 and 6201

(i) The LCM of 6201 and 6200 is associative

LCM of 6200 and 6201 = LCM of 6201 and 6200

Related Least Common Multiples of 6200

Related Least Common Multiples of 6201

Frequently Asked Questions on LCM of 6200 and 6201

1. What is the LCM of 6200 and 6201?

Answer: LCM of 6200 and 6201 is 38446200.

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 6201?

Answer: Factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201. There are 12 integers that are factors of 6201. The greatest factor of 6201 is 6201.

4. How to Find the LCM of 6200 and 6201?

Answer:

Least Common Multiple of 6200 and 6201 = 38446200

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 6201

6201 = 3 x 3 x 13 x 53

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

LCM = 38446200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 31 x 53

Step 4: Therefore, the least common multiple of 6200 and 6201 is 38446200.