Least Common Multiple of 3979 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 3979 and 3983 the smallest integer that is 15848357 that is divisible by both numbers.

Least Common Multiple (LCM) of 3979 and 3983 is 15848357.

LCM(3979,3983) = 15848357

LCM of 3979 and 3983

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

LCM of:
and

Least Common Multiple of 3979 and 3983

LCM of 3979 and 3983 is 15848357

Least common multiple can be found by multiplying the highest exponent prime factors of 3979 and 3983. First we will calculate the prime factors of 3979 and 3983.

Prime Factorization of 3979


23 3979
173 173
1

Prime factors of 3979 are 23,173. Prime factorization of 3979 in exponential form is:

3979 = 231×1731

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 3979 and 3983.

LCM(3979,3983) = 71×231×1731×5691
LCM(3979,3983) = 15848357

Factors of 3979

List of positive integer factors of 3979 that divides 3979 without a remainder.

1, 23, 173, 3979

Factors of 3983

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

1, 7, 569, 3983

Least Common Multiple of 3979 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 3979 and 3983, than apply into the LCM equation.

GCF(3979,3983) = 1
LCM(3979,3983) = ( 3979 × 3983) / 1
LCM(3979,3983) = 15848357 / 1
LCM(3979,3983) = 15848357

Properties of LCM 3979 and 3983

(i) The LCM of 3983 and 3979 is associative

LCM of 3979 and 3983 = LCM of 3983 and 3979

Related Least Common Multiples of 3979

Related Least Common Multiples of 3983

Frequently Asked Questions on LCM of 3979 and 3983

1. What is the LCM of 3979 and 3983?

Answer: LCM of 3979 and 3983 is 15848357.

2. What are the Factors of 3979?

Answer: Factors of 3979 are 1, 23, 173, 3979. There are 4 integers that are factors of 3979. The greatest factor of 3979 is 3979.

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 3979 and 3983?

Answer:

Least Common Multiple of 3979 and 3983 = 15848357

Step 1: Find the prime factorization of 3979

3979 = 23 x 173

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 = 15848357 = 7 x 23 x 173 x 569

Step 4: Therefore, the least common multiple of 3979 and 3983 is 15848357.