Least Common Multiple of 3990 and 3994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3990 and 3994 the smallest integer that is 7968030 that is divisible by both numbers.

Least Common Multiple (LCM) of 3990 and 3994 is 7968030.

LCM(3990,3994) = 7968030

LCM of 3990 and 3994

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

LCM of:
and

Least Common Multiple of 3990 and 3994

LCM of 3990 and 3994 is 7968030

Least common multiple can be found by multiplying the highest exponent prime factors of 3990 and 3994. First we will calculate the prime factors of 3990 and 3994.

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

Prime Factorization of 3994


2 3994
1997 1997
1

Prime factors of 3994 are 2,1997. Prime factorization of 3994 in exponential form is:

3994 = 21×19971

Now multiplying the highest exponent prime factors to calculate the LCM of 3990 and 3994.

LCM(3990,3994) = 21×31×51×71×191×19971
LCM(3990,3994) = 7968030

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

Factors of 3994

List of positive integer factors of 3994 that divides 3994 without a remainder.

1, 2, 1997, 3994

Least Common Multiple of 3990 and 3994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3990 and 3994, than apply into the LCM equation.

GCF(3990,3994) = 2
LCM(3990,3994) = ( 3990 × 3994) / 2
LCM(3990,3994) = 15936060 / 2
LCM(3990,3994) = 7968030

Properties of LCM 3990 and 3994

(i) The LCM of 3994 and 3990 is associative

LCM of 3990 and 3994 = LCM of 3994 and 3990

Related Least Common Multiples of 3990

Related Least Common Multiples of 3994

Frequently Asked Questions on LCM of 3990 and 3994

1. What is the LCM of 3990 and 3994?

Answer: LCM of 3990 and 3994 is 7968030.

2. 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.

3. What are the Factors of 3994?

Answer: Factors of 3994 are 1, 2, 1997, 3994. There are 4 integers that are factors of 3994. The greatest factor of 3994 is 3994.

4. How to Find the LCM of 3990 and 3994?

Answer:

Least Common Multiple of 3990 and 3994 = 7968030

Step 1: Find the prime factorization of 3990

3990 = 2 x 3 x 5 x 7 x 19

Step 2: Find the prime factorization of 3994

3994 = 2 x 1997

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

LCM = 7968030 = 2 x 3 x 5 x 7 x 19 x 1997

Step 4: Therefore, the least common multiple of 3990 and 3994 is 7968030.