Least Common Multiple of 3230 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 3230 and 3236 the smallest integer that is 5226140 that is divisible by both numbers.

Least Common Multiple (LCM) of 3230 and 3236 is 5226140.

LCM(3230,3236) = 5226140

LCM of 3230 and 3236

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

LCM of:
and

Least Common Multiple of 3230 and 3236

LCM of 3230 and 3236 is 5226140

Least common multiple can be found by multiplying the highest exponent prime factors of 3230 and 3236. First we will calculate the prime factors of 3230 and 3236.

Prime Factorization of 3230


2 3230
5 1615
17 323
19 19
1

Prime factors of 3230 are 2, 5, 17,19. Prime factorization of 3230 in exponential form is:

3230 = 21×51×171×191

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 3230 and 3236.

LCM(3230,3236) = 22×51×171×191×8091
LCM(3230,3236) = 5226140

Factors of 3230

List of positive integer factors of 3230 that divides 3230 without a remainder.

1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230

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 3230 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 3230 and 3236, than apply into the LCM equation.

GCF(3230,3236) = 2
LCM(3230,3236) = ( 3230 × 3236) / 2
LCM(3230,3236) = 10452280 / 2
LCM(3230,3236) = 5226140

Properties of LCM 3230 and 3236

(i) The LCM of 3236 and 3230 is associative

LCM of 3230 and 3236 = LCM of 3236 and 3230

Related Least Common Multiples of 3230

Related Least Common Multiples of 3236

Frequently Asked Questions on LCM of 3230 and 3236

1. What is the LCM of 3230 and 3236?

Answer: LCM of 3230 and 3236 is 5226140.

2. What are the Factors of 3230?

Answer: Factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230. There are 16 integers that are factors of 3230. The greatest factor of 3230 is 3230.

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 3230 and 3236?

Answer:

Least Common Multiple of 3230 and 3236 = 5226140

Step 1: Find the prime factorization of 3230

3230 = 2 x 5 x 17 x 19

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 = 5226140 = 2 x 2 x 5 x 17 x 19 x 809

Step 4: Therefore, the least common multiple of 3230 and 3236 is 5226140.