Least Common Multiple of 3979 and 3986

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 3986 the smallest integer that is 15860294 that is divisible by both numbers.

Least Common Multiple (LCM) of 3979 and 3986 is 15860294.

LCM(3979,3986) = 15860294

LCM of 3979 and 3986

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

LCM of:
and

Least Common Multiple of 3979 and 3986

LCM of 3979 and 3986 is 15860294

Least common multiple can be found by multiplying the highest exponent prime factors of 3979 and 3986. First we will calculate the prime factors of 3979 and 3986.

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 3986


2 3986
1993 1993
1

Prime factors of 3986 are 2,1993. Prime factorization of 3986 in exponential form is:

3986 = 21×19931

Now multiplying the highest exponent prime factors to calculate the LCM of 3979 and 3986.

LCM(3979,3986) = 21×231×1731×19931
LCM(3979,3986) = 15860294

Factors of 3979

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

1, 23, 173, 3979

Factors of 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1, 2, 1993, 3986

Least Common Multiple of 3979 and 3986 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 3986, than apply into the LCM equation.

GCF(3979,3986) = 1
LCM(3979,3986) = ( 3979 × 3986) / 1
LCM(3979,3986) = 15860294 / 1
LCM(3979,3986) = 15860294

Properties of LCM 3979 and 3986

(i) The LCM of 3986 and 3979 is associative

LCM of 3979 and 3986 = LCM of 3986 and 3979

Related Least Common Multiples of 3979

Related Least Common Multiples of 3986

Frequently Asked Questions on LCM of 3979 and 3986

1. What is the LCM of 3979 and 3986?

Answer: LCM of 3979 and 3986 is 15860294.

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 3986?

Answer: Factors of 3986 are 1, 2, 1993, 3986. There are 4 integers that are factors of 3986. The greatest factor of 3986 is 3986.

4. How to Find the LCM of 3979 and 3986?

Answer:

Least Common Multiple of 3979 and 3986 = 15860294

Step 1: Find the prime factorization of 3979

3979 = 23 x 173

Step 2: Find the prime factorization of 3986

3986 = 2 x 1993

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

LCM = 15860294 = 2 x 23 x 173 x 1993

Step 4: Therefore, the least common multiple of 3979 and 3986 is 15860294.