Least Common Multiple of 3976 and 3979

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 3979 the smallest integer that is 15820504 that is divisible by both numbers.

Least Common Multiple (LCM) of 3976 and 3979 is 15820504.

LCM(3976,3979) = 15820504

LCM of 3976 and 3979

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

LCM of:
and

Least Common Multiple of 3976 and 3979

LCM of 3976 and 3979 is 15820504

Least common multiple can be found by multiplying the highest exponent prime factors of 3976 and 3979. First we will calculate the prime factors of 3976 and 3979.

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 3979


23 3979
173 173
1

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

3979 = 231×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 3976 and 3979.

LCM(3976,3979) = 23×71×231×711×1731
LCM(3976,3979) = 15820504

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 3979

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

1, 23, 173, 3979

Least Common Multiple of 3976 and 3979 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 3979, than apply into the LCM equation.

GCF(3976,3979) = 1
LCM(3976,3979) = ( 3976 × 3979) / 1
LCM(3976,3979) = 15820504 / 1
LCM(3976,3979) = 15820504

Properties of LCM 3976 and 3979

(i) The LCM of 3979 and 3976 is associative

LCM of 3976 and 3979 = LCM of 3979 and 3976

Related Least Common Multiples of 3976

Related Least Common Multiples of 3979

Frequently Asked Questions on LCM of 3976 and 3979

1. What is the LCM of 3976 and 3979?

Answer: LCM of 3976 and 3979 is 15820504.

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 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.

4. How to Find the LCM of 3976 and 3979?

Answer:

Least Common Multiple of 3976 and 3979 = 15820504

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 3979

3979 = 23 x 173

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

LCM = 15820504 = 2 x 2 x 2 x 7 x 23 x 71 x 173

Step 4: Therefore, the least common multiple of 3976 and 3979 is 15820504.