Least Common Multiple of 3985 and 3990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3985 and 3990 the smallest integer that is 3180030 that is divisible by both numbers.

Least Common Multiple (LCM) of 3985 and 3990 is 3180030.

LCM(3985,3990) = 3180030

LCM of 3985 and 3990

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

LCM of:
and

Least Common Multiple of 3985 and 3990

LCM of 3985 and 3990 is 3180030

Least common multiple can be found by multiplying the highest exponent prime factors of 3985 and 3990. First we will calculate the prime factors of 3985 and 3990.

Prime Factorization of 3985


5 3985
797 797
1

Prime factors of 3985 are 5,797. Prime factorization of 3985 in exponential form is:

3985 = 51×7971

Prime Factorization of 3990


2 3990
3 1995
5 665
7 133
19 19
1

Prime factors of 3990 are 2, 3, 5, 7,19. Prime factorization of 3990 in exponential form is:

3990 = 21×31×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3985 and 3990.

LCM(3985,3990) = 21×31×51×71×191×7971
LCM(3985,3990) = 3180030

Factors of 3985

List of positive integer factors of 3985 that divides 3985 without a remainder.

1, 5, 797, 3985

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990

Least Common Multiple of 3985 and 3990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3985 and 3990, than apply into the LCM equation.

GCF(3985,3990) = 5
LCM(3985,3990) = ( 3985 × 3990) / 5
LCM(3985,3990) = 15900150 / 5
LCM(3985,3990) = 3180030

Properties of LCM 3985 and 3990

(i) The LCM of 3990 and 3985 is associative

LCM of 3985 and 3990 = LCM of 3990 and 3985

Related Least Common Multiples of 3985

Related Least Common Multiples of 3990

Frequently Asked Questions on LCM of 3985 and 3990

1. What is the LCM of 3985 and 3990?

Answer: LCM of 3985 and 3990 is 3180030.

2. What are the Factors of 3985?

Answer: Factors of 3985 are 1, 5, 797, 3985. There are 4 integers that are factors of 3985. The greatest factor of 3985 is 3985.

3. What are the Factors of 3990?

Answer: Factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990. There are 32 integers that are factors of 3990. The greatest factor of 3990 is 3990.

4. How to Find the LCM of 3985 and 3990?

Answer:

Least Common Multiple of 3985 and 3990 = 3180030

Step 1: Find the prime factorization of 3985

3985 = 5 x 797

Step 2: Find the prime factorization of 3990

3990 = 2 x 3 x 5 x 7 x 19

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

LCM = 3180030 = 2 x 3 x 5 x 7 x 19 x 797

Step 4: Therefore, the least common multiple of 3985 and 3990 is 3180030.