Least Common Multiple of 3180 and 3184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3180 and 3184 the smallest integer that is 2531280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3180 and 3184 is 2531280.

LCM(3180,3184) = 2531280

LCM of 3180 and 3184

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

LCM of:
and

Least Common Multiple of 3180 and 3184

LCM of 3180 and 3184 is 2531280

Least common multiple can be found by multiplying the highest exponent prime factors of 3180 and 3184. First we will calculate the prime factors of 3180 and 3184.

Prime Factorization of 3180


2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 3180 are 2, 3, 5,53. Prime factorization of 3180 in exponential form is:

3180 = 22×31×51×531

Prime Factorization of 3184


2 3184
2 1592
2 796
2 398
199 199
1

Prime factors of 3184 are 2,199. Prime factorization of 3184 in exponential form is:

3184 = 24×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 3180 and 3184.

LCM(3180,3184) = 24×31×51×531×1991
LCM(3180,3184) = 2531280

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180

Factors of 3184

List of positive integer factors of 3184 that divides 3184 without a remainder.

1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184

Least Common Multiple of 3180 and 3184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3180 and 3184, than apply into the LCM equation.

GCF(3180,3184) = 4
LCM(3180,3184) = ( 3180 × 3184) / 4
LCM(3180,3184) = 10125120 / 4
LCM(3180,3184) = 2531280

Properties of LCM 3180 and 3184

(i) The LCM of 3184 and 3180 is associative

LCM of 3180 and 3184 = LCM of 3184 and 3180

Related Least Common Multiples of 3180

Related Least Common Multiples of 3184

Frequently Asked Questions on LCM of 3180 and 3184

1. What is the LCM of 3180 and 3184?

Answer: LCM of 3180 and 3184 is 2531280.

2. What are the Factors of 3180?

Answer: Factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180. There are 24 integers that are factors of 3180. The greatest factor of 3180 is 3180.

3. What are the Factors of 3184?

Answer: Factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184. There are 10 integers that are factors of 3184. The greatest factor of 3184 is 3184.

4. How to Find the LCM of 3180 and 3184?

Answer:

Least Common Multiple of 3180 and 3184 = 2531280

Step 1: Find the prime factorization of 3180

3180 = 2 x 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 3184

3184 = 2 x 2 x 2 x 2 x 199

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

LCM = 2531280 = 2 x 2 x 2 x 2 x 3 x 5 x 53 x 199

Step 4: Therefore, the least common multiple of 3180 and 3184 is 2531280.