Least Common Multiple of 3180 and 3185

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 3185 the smallest integer that is 2025660 that is divisible by both numbers.

Least Common Multiple (LCM) of 3180 and 3185 is 2025660.

LCM(3180,3185) = 2025660

LCM of 3180 and 3185

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

LCM of:
and

Least Common Multiple of 3180 and 3185

LCM of 3180 and 3185 is 2025660

Least common multiple can be found by multiplying the highest exponent prime factors of 3180 and 3185. First we will calculate the prime factors of 3180 and 3185.

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 3185


5 3185
7 637
7 91
13 13
1

Prime factors of 3185 are 5, 7,13. Prime factorization of 3185 in exponential form is:

3185 = 51×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3180 and 3185.

LCM(3180,3185) = 22×31×51×72×131×531
LCM(3180,3185) = 2025660

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 3185

List of positive integer factors of 3185 that divides 3185 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185

Least Common Multiple of 3180 and 3185 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 3185, than apply into the LCM equation.

GCF(3180,3185) = 5
LCM(3180,3185) = ( 3180 × 3185) / 5
LCM(3180,3185) = 10128300 / 5
LCM(3180,3185) = 2025660

Properties of LCM 3180 and 3185

(i) The LCM of 3185 and 3180 is associative

LCM of 3180 and 3185 = LCM of 3185 and 3180

Related Least Common Multiples of 3180

Related Least Common Multiples of 3185

Frequently Asked Questions on LCM of 3180 and 3185

1. What is the LCM of 3180 and 3185?

Answer: LCM of 3180 and 3185 is 2025660.

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 3185?

Answer: Factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185. There are 12 integers that are factors of 3185. The greatest factor of 3185 is 3185.

4. How to Find the LCM of 3180 and 3185?

Answer:

Least Common Multiple of 3180 and 3185 = 2025660

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 3185

3185 = 5 x 7 x 7 x 13

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

LCM = 2025660 = 2 x 2 x 3 x 5 x 7 x 7 x 13 x 53

Step 4: Therefore, the least common multiple of 3180 and 3185 is 2025660.