Least Common Multiple of 3215 and 3222

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 3222 the smallest integer that is 10358730 that is divisible by both numbers.

Least Common Multiple (LCM) of 3215 and 3222 is 10358730.

LCM(3215,3222) = 10358730

LCM of 3215 and 3222

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

LCM of:
and

Least Common Multiple of 3215 and 3222

LCM of 3215 and 3222 is 10358730

Least common multiple can be found by multiplying the highest exponent prime factors of 3215 and 3222. First we will calculate the prime factors of 3215 and 3222.

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 3222


2 3222
3 1611
3 537
179 179
1

Prime factors of 3222 are 2, 3,179. Prime factorization of 3222 in exponential form is:

3222 = 21×32×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3215 and 3222.

LCM(3215,3222) = 21×32×51×1791×6431
LCM(3215,3222) = 10358730

Factors of 3215

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

1, 5, 643, 3215

Factors of 3222

List of positive integer factors of 3222 that divides 3222 without a remainder.

1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222

Least Common Multiple of 3215 and 3222 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 3222, than apply into the LCM equation.

GCF(3215,3222) = 1
LCM(3215,3222) = ( 3215 × 3222) / 1
LCM(3215,3222) = 10358730 / 1
LCM(3215,3222) = 10358730

Properties of LCM 3215 and 3222

(i) The LCM of 3222 and 3215 is associative

LCM of 3215 and 3222 = LCM of 3222 and 3215

Related Least Common Multiples of 3215

Related Least Common Multiples of 3222

Frequently Asked Questions on LCM of 3215 and 3222

1. What is the LCM of 3215 and 3222?

Answer: LCM of 3215 and 3222 is 10358730.

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 3222?

Answer: Factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. There are 12 integers that are factors of 3222. The greatest factor of 3222 is 3222.

4. How to Find the LCM of 3215 and 3222?

Answer:

Least Common Multiple of 3215 and 3222 = 10358730

Step 1: Find the prime factorization of 3215

3215 = 5 x 643

Step 2: Find the prime factorization of 3222

3222 = 2 x 3 x 3 x 179

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

LCM = 10358730 = 2 x 3 x 3 x 5 x 179 x 643

Step 4: Therefore, the least common multiple of 3215 and 3222 is 10358730.