Least Common Multiple of 3976 and 3983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3976 and 3983 the smallest integer that is 2262344 that is divisible by both numbers.

Least Common Multiple (LCM) of 3976 and 3983 is 2262344.

LCM(3976,3983) = 2262344

LCM of 3976 and 3983

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

LCM of:
and

Least Common Multiple of 3976 and 3983

LCM of 3976 and 3983 is 2262344

Least common multiple can be found by multiplying the highest exponent prime factors of 3976 and 3983. First we will calculate the prime factors of 3976 and 3983.

Prime Factorization of 3976


2 3976
2 1988
2 994
7 497
71 71
1

Prime factors of 3976 are 2, 7,71. Prime factorization of 3976 in exponential form is:

3976 = 23×71×711

Prime Factorization of 3983


7 3983
569 569
1

Prime factors of 3983 are 7,569. Prime factorization of 3983 in exponential form is:

3983 = 71×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 3976 and 3983.

LCM(3976,3983) = 23×71×711×5691
LCM(3976,3983) = 2262344

Factors of 3976

List of positive integer factors of 3976 that divides 3976 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976

Factors of 3983

List of positive integer factors of 3983 that divides 3983 without a remainder.

1, 7, 569, 3983

Least Common Multiple of 3976 and 3983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3976 and 3983, than apply into the LCM equation.

GCF(3976,3983) = 7
LCM(3976,3983) = ( 3976 × 3983) / 7
LCM(3976,3983) = 15836408 / 7
LCM(3976,3983) = 2262344

Properties of LCM 3976 and 3983

(i) The LCM of 3983 and 3976 is associative

LCM of 3976 and 3983 = LCM of 3983 and 3976

Related Least Common Multiples of 3976

Related Least Common Multiples of 3983

Frequently Asked Questions on LCM of 3976 and 3983

1. What is the LCM of 3976 and 3983?

Answer: LCM of 3976 and 3983 is 2262344.

2. What are the Factors of 3976?

Answer: Factors of 3976 are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976. There are 16 integers that are factors of 3976. The greatest factor of 3976 is 3976.

3. What are the Factors of 3983?

Answer: Factors of 3983 are 1, 7, 569, 3983. There are 4 integers that are factors of 3983. The greatest factor of 3983 is 3983.

4. How to Find the LCM of 3976 and 3983?

Answer:

Least Common Multiple of 3976 and 3983 = 2262344

Step 1: Find the prime factorization of 3976

3976 = 2 x 2 x 2 x 7 x 71

Step 2: Find the prime factorization of 3983

3983 = 7 x 569

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

LCM = 2262344 = 2 x 2 x 2 x 7 x 71 x 569

Step 4: Therefore, the least common multiple of 3976 and 3983 is 2262344.