Least Common Multiple of 3228 and 3236

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 3236 the smallest integer that is 2611452 that is divisible by both numbers.

Least Common Multiple (LCM) of 3228 and 3236 is 2611452.

LCM(3228,3236) = 2611452

LCM of 3228 and 3236

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

LCM of:
and

Least Common Multiple of 3228 and 3236

LCM of 3228 and 3236 is 2611452

Least common multiple can be found by multiplying the highest exponent prime factors of 3228 and 3236. First we will calculate the prime factors of 3228 and 3236.

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 3236


2 3236
2 1618
809 809
1

Prime factors of 3236 are 2,809. Prime factorization of 3236 in exponential form is:

3236 = 22×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 3228 and 3236.

LCM(3228,3236) = 22×31×2691×8091
LCM(3228,3236) = 2611452

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 3236

List of positive integer factors of 3236 that divides 3236 without a remainder.

1, 2, 4, 809, 1618, 3236

Least Common Multiple of 3228 and 3236 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 3236, than apply into the LCM equation.

GCF(3228,3236) = 4
LCM(3228,3236) = ( 3228 × 3236) / 4
LCM(3228,3236) = 10445808 / 4
LCM(3228,3236) = 2611452

Properties of LCM 3228 and 3236

(i) The LCM of 3236 and 3228 is associative

LCM of 3228 and 3236 = LCM of 3236 and 3228

Related Least Common Multiples of 3228

Related Least Common Multiples of 3236

Frequently Asked Questions on LCM of 3228 and 3236

1. What is the LCM of 3228 and 3236?

Answer: LCM of 3228 and 3236 is 2611452.

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 3236?

Answer: Factors of 3236 are 1, 2, 4, 809, 1618, 3236. There are 6 integers that are factors of 3236. The greatest factor of 3236 is 3236.

4. How to Find the LCM of 3228 and 3236?

Answer:

Least Common Multiple of 3228 and 3236 = 2611452

Step 1: Find the prime factorization of 3228

3228 = 2 x 2 x 3 x 269

Step 2: Find the prime factorization of 3236

3236 = 2 x 2 x 809

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

LCM = 2611452 = 2 x 2 x 3 x 269 x 809

Step 4: Therefore, the least common multiple of 3228 and 3236 is 2611452.