Least Common Multiple of 3222 and 3226

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 3226 the smallest integer that is 5197086 that is divisible by both numbers.

Least Common Multiple (LCM) of 3222 and 3226 is 5197086.

LCM(3222,3226) = 5197086

LCM of 3222 and 3226

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

LCM of:
and

Least Common Multiple of 3222 and 3226

LCM of 3222 and 3226 is 5197086

Least common multiple can be found by multiplying the highest exponent prime factors of 3222 and 3226. First we will calculate the prime factors of 3222 and 3226.

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 3226


2 3226
1613 1613
1

Prime factors of 3226 are 2,1613. Prime factorization of 3226 in exponential form is:

3226 = 21×16131

Now multiplying the highest exponent prime factors to calculate the LCM of 3222 and 3226.

LCM(3222,3226) = 21×32×1791×16131
LCM(3222,3226) = 5197086

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 3226

List of positive integer factors of 3226 that divides 3226 without a remainder.

1, 2, 1613, 3226

Least Common Multiple of 3222 and 3226 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 3226, than apply into the LCM equation.

GCF(3222,3226) = 2
LCM(3222,3226) = ( 3222 × 3226) / 2
LCM(3222,3226) = 10394172 / 2
LCM(3222,3226) = 5197086

Properties of LCM 3222 and 3226

(i) The LCM of 3226 and 3222 is associative

LCM of 3222 and 3226 = LCM of 3226 and 3222

Related Least Common Multiples of 3222

Related Least Common Multiples of 3226

Frequently Asked Questions on LCM of 3222 and 3226

1. What is the LCM of 3222 and 3226?

Answer: LCM of 3222 and 3226 is 5197086.

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 3226?

Answer: Factors of 3226 are 1, 2, 1613, 3226. There are 4 integers that are factors of 3226. The greatest factor of 3226 is 3226.

4. How to Find the LCM of 3222 and 3226?

Answer:

Least Common Multiple of 3222 and 3226 = 5197086

Step 1: Find the prime factorization of 3222

3222 = 2 x 3 x 3 x 179

Step 2: Find the prime factorization of 3226

3226 = 2 x 1613

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

LCM = 5197086 = 2 x 3 x 3 x 179 x 1613

Step 4: Therefore, the least common multiple of 3222 and 3226 is 5197086.