Least Common Multiple of 3980 and 3984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3980 and 3984 the smallest integer that is 3964080 that is divisible by both numbers.

Least Common Multiple (LCM) of 3980 and 3984 is 3964080.

LCM(3980,3984) = 3964080

LCM of 3980 and 3984

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

LCM of:
and

Least Common Multiple of 3980 and 3984

LCM of 3980 and 3984 is 3964080

Least common multiple can be found by multiplying the highest exponent prime factors of 3980 and 3984. First we will calculate the prime factors of 3980 and 3984.

Prime Factorization of 3980


2 3980
2 1990
5 995
199 199
1

Prime factors of 3980 are 2, 5,199. Prime factorization of 3980 in exponential form is:

3980 = 22×51×1991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3980 and 3984.

LCM(3980,3984) = 24×31×51×831×1991
LCM(3980,3984) = 3964080

Factors of 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980

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

Least Common Multiple of 3980 and 3984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3980 and 3984, than apply into the LCM equation.

GCF(3980,3984) = 4
LCM(3980,3984) = ( 3980 × 3984) / 4
LCM(3980,3984) = 15856320 / 4
LCM(3980,3984) = 3964080

Properties of LCM 3980 and 3984

(i) The LCM of 3984 and 3980 is associative

LCM of 3980 and 3984 = LCM of 3984 and 3980

Related Least Common Multiples of 3980

Related Least Common Multiples of 3984

Frequently Asked Questions on LCM of 3980 and 3984

1. What is the LCM of 3980 and 3984?

Answer: LCM of 3980 and 3984 is 3964080.

2. What are the Factors of 3980?

Answer: Factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. There are 12 integers that are factors of 3980. The greatest factor of 3980 is 3980.

3. 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.

4. How to Find the LCM of 3980 and 3984?

Answer:

Least Common Multiple of 3980 and 3984 = 3964080

Step 1: Find the prime factorization of 3980

3980 = 2 x 2 x 5 x 199

Step 2: Find the prime factorization of 3984

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

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

LCM = 3964080 = 2 x 2 x 2 x 2 x 3 x 5 x 83 x 199

Step 4: Therefore, the least common multiple of 3980 and 3984 is 3964080.