Least Common Multiple of 6210 and 6215

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 6215 the smallest integer that is 7719030 that is divisible by both numbers.

Least Common Multiple (LCM) of 6210 and 6215 is 7719030.

LCM(6210,6215) = 7719030

LCM of 6210 and 6215

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

LCM of:
and

Least Common Multiple of 6210 and 6215

LCM of 6210 and 6215 is 7719030

Least common multiple can be found by multiplying the highest exponent prime factors of 6210 and 6215. First we will calculate the prime factors of 6210 and 6215.

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 6215


5 6215
11 1243
113 113
1

Prime factors of 6215 are 5, 11,113. Prime factorization of 6215 in exponential form is:

6215 = 51×111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6210 and 6215.

LCM(6210,6215) = 21×33×51×111×231×1131
LCM(6210,6215) = 7719030

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 6215

List of positive integer factors of 6215 that divides 6215 without a remainder.

1, 5, 11, 55, 113, 565, 1243, 6215

Least Common Multiple of 6210 and 6215 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 6215, than apply into the LCM equation.

GCF(6210,6215) = 5
LCM(6210,6215) = ( 6210 × 6215) / 5
LCM(6210,6215) = 38595150 / 5
LCM(6210,6215) = 7719030

Properties of LCM 6210 and 6215

(i) The LCM of 6215 and 6210 is associative

LCM of 6210 and 6215 = LCM of 6215 and 6210

Related Least Common Multiples of 6210

Related Least Common Multiples of 6215

Frequently Asked Questions on LCM of 6210 and 6215

1. What is the LCM of 6210 and 6215?

Answer: LCM of 6210 and 6215 is 7719030.

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 6215?

Answer: Factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215. There are 8 integers that are factors of 6215. The greatest factor of 6215 is 6215.

4. How to Find the LCM of 6210 and 6215?

Answer:

Least Common Multiple of 6210 and 6215 = 7719030

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 6215

6215 = 5 x 11 x 113

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

LCM = 7719030 = 2 x 3 x 3 x 3 x 5 x 11 x 23 x 113

Step 4: Therefore, the least common multiple of 6210 and 6215 is 7719030.