Least Common Multiple of 3218 and 3220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3218 and 3220 the smallest integer that is 5180980 that is divisible by both numbers.

Least Common Multiple (LCM) of 3218 and 3220 is 5180980.

LCM(3218,3220) = 5180980

LCM of 3218 and 3220

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

LCM of:
and

Least Common Multiple of 3218 and 3220

LCM of 3218 and 3220 is 5180980

Least common multiple can be found by multiplying the highest exponent prime factors of 3218 and 3220. First we will calculate the prime factors of 3218 and 3220.

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

Prime Factorization of 3220


2 3220
2 1610
5 805
7 161
23 23
1

Prime factors of 3220 are 2, 5, 7,23. Prime factorization of 3220 in exponential form is:

3220 = 22×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3218 and 3220.

LCM(3218,3220) = 22×51×71×231×16091
LCM(3218,3220) = 5180980

Factors of 3218

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

1, 2, 1609, 3218

Factors of 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220

Least Common Multiple of 3218 and 3220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3218 and 3220, than apply into the LCM equation.

GCF(3218,3220) = 2
LCM(3218,3220) = ( 3218 × 3220) / 2
LCM(3218,3220) = 10361960 / 2
LCM(3218,3220) = 5180980

Properties of LCM 3218 and 3220

(i) The LCM of 3220 and 3218 is associative

LCM of 3218 and 3220 = LCM of 3220 and 3218

Related Least Common Multiples of 3218

Related Least Common Multiples of 3220

Frequently Asked Questions on LCM of 3218 and 3220

1. What is the LCM of 3218 and 3220?

Answer: LCM of 3218 and 3220 is 5180980.

2. 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.

3. What are the Factors of 3220?

Answer: Factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220. There are 24 integers that are factors of 3220. The greatest factor of 3220 is 3220.

4. How to Find the LCM of 3218 and 3220?

Answer:

Least Common Multiple of 3218 and 3220 = 5180980

Step 1: Find the prime factorization of 3218

3218 = 2 x 1609

Step 2: Find the prime factorization of 3220

3220 = 2 x 2 x 5 x 7 x 23

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

LCM = 5180980 = 2 x 2 x 5 x 7 x 23 x 1609

Step 4: Therefore, the least common multiple of 3218 and 3220 is 5180980.