Least Common Multiple of 3978 and 3982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3978 and 3982 the smallest integer that is 7920198 that is divisible by both numbers.

Least Common Multiple (LCM) of 3978 and 3982 is 7920198.

LCM(3978,3982) = 7920198

LCM of 3978 and 3982

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

LCM of:
and

Least Common Multiple of 3978 and 3982

LCM of 3978 and 3982 is 7920198

Least common multiple can be found by multiplying the highest exponent prime factors of 3978 and 3982. First we will calculate the prime factors of 3978 and 3982.

Prime Factorization of 3978


2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 3978 are 2, 3, 13,17. Prime factorization of 3978 in exponential form is:

3978 = 21×32×131×171

Prime Factorization of 3982


2 3982
11 1991
181 181
1

Prime factors of 3982 are 2, 11,181. Prime factorization of 3982 in exponential form is:

3982 = 21×111×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3978 and 3982.

LCM(3978,3982) = 21×32×111×131×171×1811
LCM(3978,3982) = 7920198

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978

Factors of 3982

List of positive integer factors of 3982 that divides 3982 without a remainder.

1, 2, 11, 22, 181, 362, 1991, 3982

Least Common Multiple of 3978 and 3982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3978 and 3982, than apply into the LCM equation.

GCF(3978,3982) = 2
LCM(3978,3982) = ( 3978 × 3982) / 2
LCM(3978,3982) = 15840396 / 2
LCM(3978,3982) = 7920198

Properties of LCM 3978 and 3982

(i) The LCM of 3982 and 3978 is associative

LCM of 3978 and 3982 = LCM of 3982 and 3978

Related Least Common Multiples of 3978

Related Least Common Multiples of 3982

Frequently Asked Questions on LCM of 3978 and 3982

1. What is the LCM of 3978 and 3982?

Answer: LCM of 3978 and 3982 is 7920198.

2. What are the Factors of 3978?

Answer: Factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. There are 24 integers that are factors of 3978. The greatest factor of 3978 is 3978.

3. What are the Factors of 3982?

Answer: Factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982. There are 8 integers that are factors of 3982. The greatest factor of 3982 is 3982.

4. How to Find the LCM of 3978 and 3982?

Answer:

Least Common Multiple of 3978 and 3982 = 7920198

Step 1: Find the prime factorization of 3978

3978 = 2 x 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 3982

3982 = 2 x 11 x 181

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

LCM = 7920198 = 2 x 3 x 3 x 11 x 13 x 17 x 181

Step 4: Therefore, the least common multiple of 3978 and 3982 is 7920198.