Least Common Multiple of 3210 and 3217

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 3217 the smallest integer that is 10326570 that is divisible by both numbers.

Least Common Multiple (LCM) of 3210 and 3217 is 10326570.

LCM(3210,3217) = 10326570

LCM of 3210 and 3217

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

LCM of:
and

Least Common Multiple of 3210 and 3217

LCM of 3210 and 3217 is 10326570

Least common multiple can be found by multiplying the highest exponent prime factors of 3210 and 3217. First we will calculate the prime factors of 3210 and 3217.

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 3217


3217 3217
1

Prime factors of 3217 are 3217. Prime factorization of 3217 in exponential form is:

3217 = 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 3210 and 3217.

LCM(3210,3217) = 21×31×51×1071×32171
LCM(3210,3217) = 10326570

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 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1, 3217

Least Common Multiple of 3210 and 3217 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 3217, than apply into the LCM equation.

GCF(3210,3217) = 1
LCM(3210,3217) = ( 3210 × 3217) / 1
LCM(3210,3217) = 10326570 / 1
LCM(3210,3217) = 10326570

Properties of LCM 3210 and 3217

(i) The LCM of 3217 and 3210 is associative

LCM of 3210 and 3217 = LCM of 3217 and 3210

Related Least Common Multiples of 3210

Related Least Common Multiples of 3217

Frequently Asked Questions on LCM of 3210 and 3217

1. What is the LCM of 3210 and 3217?

Answer: LCM of 3210 and 3217 is 10326570.

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 3217?

Answer: Factors of 3217 are 1, 3217. There are 2 integers that are factors of 3217. The greatest factor of 3217 is 3217.

4. How to Find the LCM of 3210 and 3217?

Answer:

Least Common Multiple of 3210 and 3217 = 10326570

Step 1: Find the prime factorization of 3210

3210 = 2 x 3 x 5 x 107

Step 2: Find the prime factorization of 3217

3217 = 3217

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

LCM = 10326570 = 2 x 3 x 5 x 107 x 3217

Step 4: Therefore, the least common multiple of 3210 and 3217 is 10326570.