Least Common Multiple of 3218 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 3218 and 3222 the smallest integer that is 5184198 that is divisible by both numbers.

Least Common Multiple (LCM) of 3218 and 3222 is 5184198.

LCM(3218,3222) = 5184198

LCM of 3218 and 3222

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

LCM of:
and

Least Common Multiple of 3218 and 3222

LCM of 3218 and 3222 is 5184198

Least common multiple can be found by multiplying the highest exponent prime factors of 3218 and 3222. First we will calculate the prime factors of 3218 and 3222.

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 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 3218 and 3222.

LCM(3218,3222) = 21×32×1791×16091
LCM(3218,3222) = 5184198

Factors of 3218

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

1, 2, 1609, 3218

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 3218 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 3218 and 3222, than apply into the LCM equation.

GCF(3218,3222) = 2
LCM(3218,3222) = ( 3218 × 3222) / 2
LCM(3218,3222) = 10368396 / 2
LCM(3218,3222) = 5184198

Properties of LCM 3218 and 3222

(i) The LCM of 3222 and 3218 is associative

LCM of 3218 and 3222 = LCM of 3222 and 3218

Related Least Common Multiples of 3218

Related Least Common Multiples of 3222

Frequently Asked Questions on LCM of 3218 and 3222

1. What is the LCM of 3218 and 3222?

Answer: LCM of 3218 and 3222 is 5184198.

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 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 3218 and 3222?

Answer:

Least Common Multiple of 3218 and 3222 = 5184198

Step 1: Find the prime factorization of 3218

3218 = 2 x 1609

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 = 5184198 = 2 x 3 x 3 x 179 x 1609

Step 4: Therefore, the least common multiple of 3218 and 3222 is 5184198.