Least Common Multiple of 6202 and 6210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6202 and 6210 the smallest integer that is 19257210 that is divisible by both numbers.

Least Common Multiple (LCM) of 6202 and 6210 is 19257210.

LCM(6202,6210) = 19257210

LCM of 6202 and 6210

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

LCM of:
and

Least Common Multiple of 6202 and 6210

LCM of 6202 and 6210 is 19257210

Least common multiple can be found by multiplying the highest exponent prime factors of 6202 and 6210. First we will calculate the prime factors of 6202 and 6210.

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

Prime Factorization of 6210


2 6210
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 6210 are 2, 3, 5,23. Prime factorization of 6210 in exponential form is:

6210 = 21×33×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6202 and 6210.

LCM(6202,6210) = 21×33×51×71×231×4431
LCM(6202,6210) = 19257210

Factors of 6202

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

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

Factors of 6210

List of positive integer factors of 6210 that divides 6210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210

Least Common Multiple of 6202 and 6210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6202 and 6210, than apply into the LCM equation.

GCF(6202,6210) = 2
LCM(6202,6210) = ( 6202 × 6210) / 2
LCM(6202,6210) = 38514420 / 2
LCM(6202,6210) = 19257210

Properties of LCM 6202 and 6210

(i) The LCM of 6210 and 6202 is associative

LCM of 6202 and 6210 = LCM of 6210 and 6202

Related Least Common Multiples of 6202

Related Least Common Multiples of 6210

Frequently Asked Questions on LCM of 6202 and 6210

1. What is the LCM of 6202 and 6210?

Answer: LCM of 6202 and 6210 is 19257210.

2. 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.

3. What are the Factors of 6210?

Answer: Factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210. There are 32 integers that are factors of 6210. The greatest factor of 6210 is 6210.

4. How to Find the LCM of 6202 and 6210?

Answer:

Least Common Multiple of 6202 and 6210 = 19257210

Step 1: Find the prime factorization of 6202

6202 = 2 x 7 x 443

Step 2: Find the prime factorization of 6210

6210 = 2 x 3 x 3 x 3 x 5 x 23

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

LCM = 19257210 = 2 x 3 x 3 x 3 x 5 x 7 x 23 x 443

Step 4: Therefore, the least common multiple of 6202 and 6210 is 19257210.