Least Common Multiple of 3984 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 3984 and 3990 the smallest integer that is 2649360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3984 and 3990 is 2649360.

LCM(3984,3990) = 2649360

LCM of 3984 and 3990

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

LCM of:
and

Least Common Multiple of 3984 and 3990

LCM of 3984 and 3990 is 2649360

Least common multiple can be found by multiplying the highest exponent prime factors of 3984 and 3990. First we will calculate the prime factors of 3984 and 3990.

Prime Factorization of 3984


2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 3984 are 2, 3,83. Prime factorization of 3984 in exponential form is:

3984 = 24×31×831

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 3984 and 3990.

LCM(3984,3990) = 24×31×51×71×191×831
LCM(3984,3990) = 2649360

Factors of 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984

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 3984 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 3984 and 3990, than apply into the LCM equation.

GCF(3984,3990) = 6
LCM(3984,3990) = ( 3984 × 3990) / 6
LCM(3984,3990) = 15896160 / 6
LCM(3984,3990) = 2649360

Properties of LCM 3984 and 3990

(i) The LCM of 3990 and 3984 is associative

LCM of 3984 and 3990 = LCM of 3990 and 3984

Related Least Common Multiples of 3984

Related Least Common Multiples of 3990

Frequently Asked Questions on LCM of 3984 and 3990

1. What is the LCM of 3984 and 3990?

Answer: LCM of 3984 and 3990 is 2649360.

2. What are the Factors of 3984?

Answer: Factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984. There are 20 integers that are factors of 3984. The greatest factor of 3984 is 3984.

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 3984 and 3990?

Answer:

Least Common Multiple of 3984 and 3990 = 2649360

Step 1: Find the prime factorization of 3984

3984 = 2 x 2 x 2 x 2 x 3 x 83

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 = 2649360 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 83

Step 4: Therefore, the least common multiple of 3984 and 3990 is 2649360.