Least Common Multiple of 3215 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 3215 and 3220 the smallest integer that is 2070460 that is divisible by both numbers.

Least Common Multiple (LCM) of 3215 and 3220 is 2070460.

LCM(3215,3220) = 2070460

LCM of 3215 and 3220

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

LCM of:
and

Least Common Multiple of 3215 and 3220

LCM of 3215 and 3220 is 2070460

Least common multiple can be found by multiplying the highest exponent prime factors of 3215 and 3220. First we will calculate the prime factors of 3215 and 3220.

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

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 3215 and 3220.

LCM(3215,3220) = 22×51×71×231×6431
LCM(3215,3220) = 2070460

Factors of 3215

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

1, 5, 643, 3215

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 3215 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 3215 and 3220, than apply into the LCM equation.

GCF(3215,3220) = 5
LCM(3215,3220) = ( 3215 × 3220) / 5
LCM(3215,3220) = 10352300 / 5
LCM(3215,3220) = 2070460

Properties of LCM 3215 and 3220

(i) The LCM of 3220 and 3215 is associative

LCM of 3215 and 3220 = LCM of 3220 and 3215

Related Least Common Multiples of 3215

Related Least Common Multiples of 3220

Frequently Asked Questions on LCM of 3215 and 3220

1. What is the LCM of 3215 and 3220?

Answer: LCM of 3215 and 3220 is 2070460.

2. 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.

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 3215 and 3220?

Answer:

Least Common Multiple of 3215 and 3220 = 2070460

Step 1: Find the prime factorization of 3215

3215 = 5 x 643

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 = 2070460 = 2 x 2 x 5 x 7 x 23 x 643

Step 4: Therefore, the least common multiple of 3215 and 3220 is 2070460.