Least Common Multiple of 3976 and 3980

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 3980 the smallest integer that is 3956120 that is divisible by both numbers.

Least Common Multiple (LCM) of 3976 and 3980 is 3956120.

LCM(3976,3980) = 3956120

LCM of 3976 and 3980

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

LCM of:
and

Least Common Multiple of 3976 and 3980

LCM of 3976 and 3980 is 3956120

Least common multiple can be found by multiplying the highest exponent prime factors of 3976 and 3980. First we will calculate the prime factors of 3976 and 3980.

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 3980


2 3980
2 1990
5 995
199 199
1

Prime factors of 3980 are 2, 5,199. Prime factorization of 3980 in exponential form is:

3980 = 22×51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 3976 and 3980.

LCM(3976,3980) = 23×51×71×711×1991
LCM(3976,3980) = 3956120

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 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980

Least Common Multiple of 3976 and 3980 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 3980, than apply into the LCM equation.

GCF(3976,3980) = 4
LCM(3976,3980) = ( 3976 × 3980) / 4
LCM(3976,3980) = 15824480 / 4
LCM(3976,3980) = 3956120

Properties of LCM 3976 and 3980

(i) The LCM of 3980 and 3976 is associative

LCM of 3976 and 3980 = LCM of 3980 and 3976

Related Least Common Multiples of 3976

Related Least Common Multiples of 3980

Frequently Asked Questions on LCM of 3976 and 3980

1. What is the LCM of 3976 and 3980?

Answer: LCM of 3976 and 3980 is 3956120.

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 3980?

Answer: Factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. There are 12 integers that are factors of 3980. The greatest factor of 3980 is 3980.

4. How to Find the LCM of 3976 and 3980?

Answer:

Least Common Multiple of 3976 and 3980 = 3956120

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 3980

3980 = 2 x 2 x 5 x 199

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

LCM = 3956120 = 2 x 2 x 2 x 5 x 7 x 71 x 199

Step 4: Therefore, the least common multiple of 3976 and 3980 is 3956120.