Least Common Multiple of 6200 and 6202

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 6202 the smallest integer that is 19226200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6200 and 6202 is 19226200.

LCM(6200,6202) = 19226200

LCM of 6200 and 6202

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

LCM of:
and

Least Common Multiple of 6200 and 6202

LCM of 6200 and 6202 is 19226200

Least common multiple can be found by multiplying the highest exponent prime factors of 6200 and 6202. First we will calculate the prime factors of 6200 and 6202.

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 6202


2 6202
7 3101
443 443
1

Prime factors of 6202 are 2, 7,443. Prime factorization of 6202 in exponential form is:

6202 = 21×71×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 6200 and 6202.

LCM(6200,6202) = 23×52×71×311×4431
LCM(6200,6202) = 19226200

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 6202

List of positive integer factors of 6202 that divides 6202 without a remainder.

1, 2, 7, 14, 443, 886, 3101, 6202

Least Common Multiple of 6200 and 6202 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 6202, than apply into the LCM equation.

GCF(6200,6202) = 2
LCM(6200,6202) = ( 6200 × 6202) / 2
LCM(6200,6202) = 38452400 / 2
LCM(6200,6202) = 19226200

Properties of LCM 6200 and 6202

(i) The LCM of 6202 and 6200 is associative

LCM of 6200 and 6202 = LCM of 6202 and 6200

Related Least Common Multiples of 6200

Related Least Common Multiples of 6202

Frequently Asked Questions on LCM of 6200 and 6202

1. What is the LCM of 6200 and 6202?

Answer: LCM of 6200 and 6202 is 19226200.

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 6202?

Answer: Factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202. There are 8 integers that are factors of 6202. The greatest factor of 6202 is 6202.

4. How to Find the LCM of 6200 and 6202?

Answer:

Least Common Multiple of 6200 and 6202 = 19226200

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 6202

6202 = 2 x 7 x 443

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

LCM = 19226200 = 2 x 2 x 2 x 5 x 5 x 7 x 31 x 443

Step 4: Therefore, the least common multiple of 6200 and 6202 is 19226200.