Least Common Multiple of 3952 and 3956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3952 and 3956 the smallest integer that is 3908528 that is divisible by both numbers.

Least Common Multiple (LCM) of 3952 and 3956 is 3908528.

LCM(3952,3956) = 3908528

LCM of 3952 and 3956

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

LCM of:
and

Least Common Multiple of 3952 and 3956

LCM of 3952 and 3956 is 3908528

Least common multiple can be found by multiplying the highest exponent prime factors of 3952 and 3956. First we will calculate the prime factors of 3952 and 3956.

Prime Factorization of 3952


2 3952
2 1976
2 988
2 494
13 247
19 19
1

Prime factors of 3952 are 2, 13,19. Prime factorization of 3952 in exponential form is:

3952 = 24×131×191

Prime Factorization of 3956


2 3956
2 1978
23 989
43 43
1

Prime factors of 3956 are 2, 23,43. Prime factorization of 3956 in exponential form is:

3956 = 22×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3952 and 3956.

LCM(3952,3956) = 24×131×191×231×431
LCM(3952,3956) = 3908528

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952

Factors of 3956

List of positive integer factors of 3956 that divides 3956 without a remainder.

1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978, 3956

Least Common Multiple of 3952 and 3956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3952 and 3956, than apply into the LCM equation.

GCF(3952,3956) = 4
LCM(3952,3956) = ( 3952 × 3956) / 4
LCM(3952,3956) = 15634112 / 4
LCM(3952,3956) = 3908528

Properties of LCM 3952 and 3956

(i) The LCM of 3956 and 3952 is associative

LCM of 3952 and 3956 = LCM of 3956 and 3952

Related Least Common Multiples of 3952

Related Least Common Multiples of 3956

Frequently Asked Questions on LCM of 3952 and 3956

1. What is the LCM of 3952 and 3956?

Answer: LCM of 3952 and 3956 is 3908528.

2. What are the Factors of 3952?

Answer: Factors of 3952 are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952. There are 20 integers that are factors of 3952. The greatest factor of 3952 is 3952.

3. What are the Factors of 3956?

Answer: Factors of 3956 are 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978, 3956. There are 12 integers that are factors of 3956. The greatest factor of 3956 is 3956.

4. How to Find the LCM of 3952 and 3956?

Answer:

Least Common Multiple of 3952 and 3956 = 3908528

Step 1: Find the prime factorization of 3952

3952 = 2 x 2 x 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

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

LCM = 3908528 = 2 x 2 x 2 x 2 x 13 x 19 x 23 x 43

Step 4: Therefore, the least common multiple of 3952 and 3956 is 3908528.