Least Common Multiple of 3968 and 3976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3968 and 3976 the smallest integer that is 1972096 that is divisible by both numbers.

Least Common Multiple (LCM) of 3968 and 3976 is 1972096.

LCM(3968,3976) = 1972096

LCM of 3968 and 3976

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

LCM of:
and

Least Common Multiple of 3968 and 3976

LCM of 3968 and 3976 is 1972096

Least common multiple can be found by multiplying the highest exponent prime factors of 3968 and 3976. First we will calculate the prime factors of 3968 and 3976.

Prime Factorization of 3968


2 3968
2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 3968 are 2,31. Prime factorization of 3968 in exponential form is:

3968 = 27×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3968 and 3976.

LCM(3968,3976) = 27×71×311×711
LCM(3968,3976) = 1972096

Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968

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

Least Common Multiple of 3968 and 3976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3968 and 3976, than apply into the LCM equation.

GCF(3968,3976) = 8
LCM(3968,3976) = ( 3968 × 3976) / 8
LCM(3968,3976) = 15776768 / 8
LCM(3968,3976) = 1972096

Properties of LCM 3968 and 3976

(i) The LCM of 3976 and 3968 is associative

LCM of 3968 and 3976 = LCM of 3976 and 3968

Related Least Common Multiples of 3968

Related Least Common Multiples of 3976

Frequently Asked Questions on LCM of 3968 and 3976

1. What is the LCM of 3968 and 3976?

Answer: LCM of 3968 and 3976 is 1972096.

2. What are the Factors of 3968?

Answer: Factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968. There are 16 integers that are factors of 3968. The greatest factor of 3968 is 3968.

3. 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.

4. How to Find the LCM of 3968 and 3976?

Answer:

Least Common Multiple of 3968 and 3976 = 1972096

Step 1: Find the prime factorization of 3968

3968 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 3976

3976 = 2 x 2 x 2 x 7 x 71

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

LCM = 1972096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 31 x 71

Step 4: Therefore, the least common multiple of 3968 and 3976 is 1972096.