Least Common Multiple of 3228 and 3234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3228 and 3234 the smallest integer that is 1739892 that is divisible by both numbers.

Least Common Multiple (LCM) of 3228 and 3234 is 1739892.

LCM(3228,3234) = 1739892

LCM of 3228 and 3234

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

LCM of:
and

Least Common Multiple of 3228 and 3234

LCM of 3228 and 3234 is 1739892

Least common multiple can be found by multiplying the highest exponent prime factors of 3228 and 3234. First we will calculate the prime factors of 3228 and 3234.

Prime Factorization of 3228


2 3228
2 1614
3 807
269 269
1

Prime factors of 3228 are 2, 3,269. Prime factorization of 3228 in exponential form is:

3228 = 22×31×2691

Prime Factorization of 3234


2 3234
3 1617
7 539
7 77
11 11
1

Prime factors of 3234 are 2, 3, 7,11. Prime factorization of 3234 in exponential form is:

3234 = 21×31×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3228 and 3234.

LCM(3228,3234) = 22×31×72×111×2691
LCM(3228,3234) = 1739892

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234

Least Common Multiple of 3228 and 3234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3228 and 3234, than apply into the LCM equation.

GCF(3228,3234) = 6
LCM(3228,3234) = ( 3228 × 3234) / 6
LCM(3228,3234) = 10439352 / 6
LCM(3228,3234) = 1739892

Properties of LCM 3228 and 3234

(i) The LCM of 3234 and 3228 is associative

LCM of 3228 and 3234 = LCM of 3234 and 3228

Related Least Common Multiples of 3228

Related Least Common Multiples of 3234

Frequently Asked Questions on LCM of 3228 and 3234

1. What is the LCM of 3228 and 3234?

Answer: LCM of 3228 and 3234 is 1739892.

2. What are the Factors of 3228?

Answer: Factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228. There are 12 integers that are factors of 3228. The greatest factor of 3228 is 3228.

3. What are the Factors of 3234?

Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.

4. How to Find the LCM of 3228 and 3234?

Answer:

Least Common Multiple of 3228 and 3234 = 1739892

Step 1: Find the prime factorization of 3228

3228 = 2 x 2 x 3 x 269

Step 2: Find the prime factorization of 3234

3234 = 2 x 3 x 7 x 7 x 11

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

LCM = 1739892 = 2 x 2 x 3 x 7 x 7 x 11 x 269

Step 4: Therefore, the least common multiple of 3228 and 3234 is 1739892.