Least Common Multiple of 3210 and 3215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3210 and 3215 the smallest integer that is 2064030 that is divisible by both numbers.

Least Common Multiple (LCM) of 3210 and 3215 is 2064030.

LCM(3210,3215) = 2064030

LCM of 3210 and 3215

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

LCM of:
and

Least Common Multiple of 3210 and 3215

LCM of 3210 and 3215 is 2064030

Least common multiple can be found by multiplying the highest exponent prime factors of 3210 and 3215. First we will calculate the prime factors of 3210 and 3215.

Prime Factorization of 3210


2 3210
3 1605
5 535
107 107
1

Prime factors of 3210 are 2, 3, 5,107. Prime factorization of 3210 in exponential form is:

3210 = 21×31×51×1071

Prime Factorization of 3215


5 3215
643 643
1

Prime factors of 3215 are 5,643. Prime factorization of 3215 in exponential form is:

3215 = 51×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 3210 and 3215.

LCM(3210,3215) = 21×31×51×1071×6431
LCM(3210,3215) = 2064030

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210

Factors of 3215

List of positive integer factors of 3215 that divides 3215 without a remainder.

1, 5, 643, 3215

Least Common Multiple of 3210 and 3215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3210 and 3215, than apply into the LCM equation.

GCF(3210,3215) = 5
LCM(3210,3215) = ( 3210 × 3215) / 5
LCM(3210,3215) = 10320150 / 5
LCM(3210,3215) = 2064030

Properties of LCM 3210 and 3215

(i) The LCM of 3215 and 3210 is associative

LCM of 3210 and 3215 = LCM of 3215 and 3210

Related Least Common Multiples of 3210

Related Least Common Multiples of 3215

Frequently Asked Questions on LCM of 3210 and 3215

1. What is the LCM of 3210 and 3215?

Answer: LCM of 3210 and 3215 is 2064030.

2. What are the Factors of 3210?

Answer: Factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210. There are 16 integers that are factors of 3210. The greatest factor of 3210 is 3210.

3. What are the Factors of 3215?

Answer: Factors of 3215 are 1, 5, 643, 3215. There are 4 integers that are factors of 3215. The greatest factor of 3215 is 3215.

4. How to Find the LCM of 3210 and 3215?

Answer:

Least Common Multiple of 3210 and 3215 = 2064030

Step 1: Find the prime factorization of 3210

3210 = 2 x 3 x 5 x 107

Step 2: Find the prime factorization of 3215

3215 = 5 x 643

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

LCM = 2064030 = 2 x 3 x 5 x 107 x 643

Step 4: Therefore, the least common multiple of 3210 and 3215 is 2064030.