Least Common Multiple of 3210 and 3218

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 3218 the smallest integer that is 5164890 that is divisible by both numbers.

Least Common Multiple (LCM) of 3210 and 3218 is 5164890.

LCM(3210,3218) = 5164890

LCM of 3210 and 3218

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

LCM of:
and

Least Common Multiple of 3210 and 3218

LCM of 3210 and 3218 is 5164890

Least common multiple can be found by multiplying the highest exponent prime factors of 3210 and 3218. First we will calculate the prime factors of 3210 and 3218.

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 3218


2 3218
1609 1609
1

Prime factors of 3218 are 2,1609. Prime factorization of 3218 in exponential form is:

3218 = 21×16091

Now multiplying the highest exponent prime factors to calculate the LCM of 3210 and 3218.

LCM(3210,3218) = 21×31×51×1071×16091
LCM(3210,3218) = 5164890

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 3218

List of positive integer factors of 3218 that divides 3218 without a remainder.

1, 2, 1609, 3218

Least Common Multiple of 3210 and 3218 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 3218, than apply into the LCM equation.

GCF(3210,3218) = 2
LCM(3210,3218) = ( 3210 × 3218) / 2
LCM(3210,3218) = 10329780 / 2
LCM(3210,3218) = 5164890

Properties of LCM 3210 and 3218

(i) The LCM of 3218 and 3210 is associative

LCM of 3210 and 3218 = LCM of 3218 and 3210

Related Least Common Multiples of 3210

Related Least Common Multiples of 3218

Frequently Asked Questions on LCM of 3210 and 3218

1. What is the LCM of 3210 and 3218?

Answer: LCM of 3210 and 3218 is 5164890.

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 3218?

Answer: Factors of 3218 are 1, 2, 1609, 3218. There are 4 integers that are factors of 3218. The greatest factor of 3218 is 3218.

4. How to Find the LCM of 3210 and 3218?

Answer:

Least Common Multiple of 3210 and 3218 = 5164890

Step 1: Find the prime factorization of 3210

3210 = 2 x 3 x 5 x 107

Step 2: Find the prime factorization of 3218

3218 = 2 x 1609

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

LCM = 5164890 = 2 x 3 x 5 x 107 x 1609

Step 4: Therefore, the least common multiple of 3210 and 3218 is 5164890.