Least Common Multiple of 3984 and 3991

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 3991 the smallest integer that is 15900144 that is divisible by both numbers.

Least Common Multiple (LCM) of 3984 and 3991 is 15900144.

LCM(3984,3991) = 15900144

LCM of 3984 and 3991

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

LCM of:
and

Least Common Multiple of 3984 and 3991

LCM of 3984 and 3991 is 15900144

Least common multiple can be found by multiplying the highest exponent prime factors of 3984 and 3991. First we will calculate the prime factors of 3984 and 3991.

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 3991


13 3991
307 307
1

Prime factors of 3991 are 13,307. Prime factorization of 3991 in exponential form is:

3991 = 131×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3984 and 3991.

LCM(3984,3991) = 24×31×131×831×3071
LCM(3984,3991) = 15900144

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 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1, 13, 307, 3991

Least Common Multiple of 3984 and 3991 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 3991, than apply into the LCM equation.

GCF(3984,3991) = 1
LCM(3984,3991) = ( 3984 × 3991) / 1
LCM(3984,3991) = 15900144 / 1
LCM(3984,3991) = 15900144

Properties of LCM 3984 and 3991

(i) The LCM of 3991 and 3984 is associative

LCM of 3984 and 3991 = LCM of 3991 and 3984

Related Least Common Multiples of 3984

Related Least Common Multiples of 3991

Frequently Asked Questions on LCM of 3984 and 3991

1. What is the LCM of 3984 and 3991?

Answer: LCM of 3984 and 3991 is 15900144.

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 3991?

Answer: Factors of 3991 are 1, 13, 307, 3991. There are 4 integers that are factors of 3991. The greatest factor of 3991 is 3991.

4. How to Find the LCM of 3984 and 3991?

Answer:

Least Common Multiple of 3984 and 3991 = 15900144

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 3991

3991 = 13 x 307

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

LCM = 15900144 = 2 x 2 x 2 x 2 x 3 x 13 x 83 x 307

Step 4: Therefore, the least common multiple of 3984 and 3991 is 15900144.