Least Common Multiple of 3222 and 3227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3222 and 3227 the smallest integer that is 10397394 that is divisible by both numbers.

Least Common Multiple (LCM) of 3222 and 3227 is 10397394.

LCM(3222,3227) = 10397394

LCM of 3222 and 3227

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

LCM of:
and

Least Common Multiple of 3222 and 3227

LCM of 3222 and 3227 is 10397394

Least common multiple can be found by multiplying the highest exponent prime factors of 3222 and 3227. First we will calculate the prime factors of 3222 and 3227.

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

Prime Factorization of 3227


7 3227
461 461
1

Prime factors of 3227 are 7,461. Prime factorization of 3227 in exponential form is:

3227 = 71×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 3222 and 3227.

LCM(3222,3227) = 21×32×71×1791×4611
LCM(3222,3227) = 10397394

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

Factors of 3227

List of positive integer factors of 3227 that divides 3227 without a remainder.

1, 7, 461, 3227

Least Common Multiple of 3222 and 3227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3222 and 3227, than apply into the LCM equation.

GCF(3222,3227) = 1
LCM(3222,3227) = ( 3222 × 3227) / 1
LCM(3222,3227) = 10397394 / 1
LCM(3222,3227) = 10397394

Properties of LCM 3222 and 3227

(i) The LCM of 3227 and 3222 is associative

LCM of 3222 and 3227 = LCM of 3227 and 3222

Related Least Common Multiples of 3222

Related Least Common Multiples of 3227

Frequently Asked Questions on LCM of 3222 and 3227

1. What is the LCM of 3222 and 3227?

Answer: LCM of 3222 and 3227 is 10397394.

2. 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.

3. What are the Factors of 3227?

Answer: Factors of 3227 are 1, 7, 461, 3227. There are 4 integers that are factors of 3227. The greatest factor of 3227 is 3227.

4. How to Find the LCM of 3222 and 3227?

Answer:

Least Common Multiple of 3222 and 3227 = 10397394

Step 1: Find the prime factorization of 3222

3222 = 2 x 3 x 3 x 179

Step 2: Find the prime factorization of 3227

3227 = 7 x 461

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

LCM = 10397394 = 2 x 3 x 3 x 7 x 179 x 461

Step 4: Therefore, the least common multiple of 3222 and 3227 is 10397394.