Least Common Multiple of 3220 and 3228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3220 and 3228 the smallest integer that is 2598540 that is divisible by both numbers.

Least Common Multiple (LCM) of 3220 and 3228 is 2598540.

LCM(3220,3228) = 2598540

LCM of 3220 and 3228

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

LCM of:
and

Least Common Multiple of 3220 and 3228

LCM of 3220 and 3228 is 2598540

Least common multiple can be found by multiplying the highest exponent prime factors of 3220 and 3228. First we will calculate the prime factors of 3220 and 3228.

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

Prime Factorization of 3228


2 3228
2 1614
3 807
269 269
1

Prime factors of 3228 are 2, 3,269. Prime factorization of 3228 in exponential form is:

3228 = 22×31×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 3220 and 3228.

LCM(3220,3228) = 22×31×51×71×231×2691
LCM(3220,3228) = 2598540

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

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228

Least Common Multiple of 3220 and 3228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3220 and 3228, than apply into the LCM equation.

GCF(3220,3228) = 4
LCM(3220,3228) = ( 3220 × 3228) / 4
LCM(3220,3228) = 10394160 / 4
LCM(3220,3228) = 2598540

Properties of LCM 3220 and 3228

(i) The LCM of 3228 and 3220 is associative

LCM of 3220 and 3228 = LCM of 3228 and 3220

Related Least Common Multiples of 3220

Related Least Common Multiples of 3228

Frequently Asked Questions on LCM of 3220 and 3228

1. What is the LCM of 3220 and 3228?

Answer: LCM of 3220 and 3228 is 2598540.

2. 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.

3. What are the Factors of 3228?

Answer: Factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228. There are 12 integers that are factors of 3228. The greatest factor of 3228 is 3228.

4. How to Find the LCM of 3220 and 3228?

Answer:

Least Common Multiple of 3220 and 3228 = 2598540

Step 1: Find the prime factorization of 3220

3220 = 2 x 2 x 5 x 7 x 23

Step 2: Find the prime factorization of 3228

3228 = 2 x 2 x 3 x 269

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

LCM = 2598540 = 2 x 2 x 3 x 5 x 7 x 23 x 269

Step 4: Therefore, the least common multiple of 3220 and 3228 is 2598540.