Least Common Multiple of 6204 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 6204 and 6210 the smallest integer that is 6421140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6204 and 6210 is 6421140.

LCM(6204,6210) = 6421140

LCM of 6204 and 6210

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

LCM of:
and

Least Common Multiple of 6204 and 6210

LCM of 6204 and 6210 is 6421140

Least common multiple can be found by multiplying the highest exponent prime factors of 6204 and 6210. First we will calculate the prime factors of 6204 and 6210.

Prime Factorization of 6204


2 6204
2 3102
3 1551
11 517
47 47
1

Prime factors of 6204 are 2, 3, 11,47. Prime factorization of 6204 in exponential form is:

6204 = 22×31×111×471

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 6204 and 6210.

LCM(6204,6210) = 22×33×51×111×231×471
LCM(6204,6210) = 6421140

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204

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 6204 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 6204 and 6210, than apply into the LCM equation.

GCF(6204,6210) = 6
LCM(6204,6210) = ( 6204 × 6210) / 6
LCM(6204,6210) = 38526840 / 6
LCM(6204,6210) = 6421140

Properties of LCM 6204 and 6210

(i) The LCM of 6210 and 6204 is associative

LCM of 6204 and 6210 = LCM of 6210 and 6204

Related Least Common Multiples of 6204

Related Least Common Multiples of 6210

Frequently Asked Questions on LCM of 6204 and 6210

1. What is the LCM of 6204 and 6210?

Answer: LCM of 6204 and 6210 is 6421140.

2. What are the Factors of 6204?

Answer: Factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204. There are 24 integers that are factors of 6204. The greatest factor of 6204 is 6204.

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 6204 and 6210?

Answer:

Least Common Multiple of 6204 and 6210 = 6421140

Step 1: Find the prime factorization of 6204

6204 = 2 x 2 x 3 x 11 x 47

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 = 6421140 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 23 x 47

Step 4: Therefore, the least common multiple of 6204 and 6210 is 6421140.