Least Common Multiple of 6210 and 6217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6210 and 6217 the smallest integer that is 38607570 that is divisible by both numbers.

Least Common Multiple (LCM) of 6210 and 6217 is 38607570.

LCM(6210,6217) = 38607570

LCM of 6210 and 6217

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

LCM of:
and

Least Common Multiple of 6210 and 6217

LCM of 6210 and 6217 is 38607570

Least common multiple can be found by multiplying the highest exponent prime factors of 6210 and 6217. First we will calculate the prime factors of 6210 and 6217.

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

Prime Factorization of 6217


6217 6217
1

Prime factors of 6217 are 6217. Prime factorization of 6217 in exponential form is:

6217 = 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 6210 and 6217.

LCM(6210,6217) = 21×33×51×231×62171
LCM(6210,6217) = 38607570

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

Factors of 6217

List of positive integer factors of 6217 that divides 6217 without a remainder.

1, 6217

Least Common Multiple of 6210 and 6217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6210 and 6217, than apply into the LCM equation.

GCF(6210,6217) = 1
LCM(6210,6217) = ( 6210 × 6217) / 1
LCM(6210,6217) = 38607570 / 1
LCM(6210,6217) = 38607570

Properties of LCM 6210 and 6217

(i) The LCM of 6217 and 6210 is associative

LCM of 6210 and 6217 = LCM of 6217 and 6210

Related Least Common Multiples of 6210

Related Least Common Multiples of 6217

Frequently Asked Questions on LCM of 6210 and 6217

1. What is the LCM of 6210 and 6217?

Answer: LCM of 6210 and 6217 is 38607570.

2. 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.

3. What are the Factors of 6217?

Answer: Factors of 6217 are 1, 6217. There are 2 integers that are factors of 6217. The greatest factor of 6217 is 6217.

4. How to Find the LCM of 6210 and 6217?

Answer:

Least Common Multiple of 6210 and 6217 = 38607570

Step 1: Find the prime factorization of 6210

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

Step 2: Find the prime factorization of 6217

6217 = 6217

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

LCM = 38607570 = 2 x 3 x 3 x 3 x 5 x 23 x 6217

Step 4: Therefore, the least common multiple of 6210 and 6217 is 38607570.