Least Common Multiple of 3956 and 3963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3956 and 3963 the smallest integer that is 15677628 that is divisible by both numbers.

Least Common Multiple (LCM) of 3956 and 3963 is 15677628.

LCM(3956,3963) = 15677628

LCM of 3956 and 3963

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

LCM of:
and

Least Common Multiple of 3956 and 3963

LCM of 3956 and 3963 is 15677628

Least common multiple can be found by multiplying the highest exponent prime factors of 3956 and 3963. First we will calculate the prime factors of 3956 and 3963.

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

Prime Factorization of 3963


3 3963
1321 1321
1

Prime factors of 3963 are 3,1321. Prime factorization of 3963 in exponential form is:

3963 = 31×13211

Now multiplying the highest exponent prime factors to calculate the LCM of 3956 and 3963.

LCM(3956,3963) = 22×31×231×431×13211
LCM(3956,3963) = 15677628

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

Factors of 3963

List of positive integer factors of 3963 that divides 3963 without a remainder.

1, 3, 1321, 3963

Least Common Multiple of 3956 and 3963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3956 and 3963, than apply into the LCM equation.

GCF(3956,3963) = 1
LCM(3956,3963) = ( 3956 × 3963) / 1
LCM(3956,3963) = 15677628 / 1
LCM(3956,3963) = 15677628

Properties of LCM 3956 and 3963

(i) The LCM of 3963 and 3956 is associative

LCM of 3956 and 3963 = LCM of 3963 and 3956

Related Least Common Multiples of 3956

Related Least Common Multiples of 3963

Frequently Asked Questions on LCM of 3956 and 3963

1. What is the LCM of 3956 and 3963?

Answer: LCM of 3956 and 3963 is 15677628.

2. 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.

3. What are the Factors of 3963?

Answer: Factors of 3963 are 1, 3, 1321, 3963. There are 4 integers that are factors of 3963. The greatest factor of 3963 is 3963.

4. How to Find the LCM of 3956 and 3963?

Answer:

Least Common Multiple of 3956 and 3963 = 15677628

Step 1: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

Step 2: Find the prime factorization of 3963

3963 = 3 x 1321

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

LCM = 15677628 = 2 x 2 x 3 x 23 x 43 x 1321

Step 4: Therefore, the least common multiple of 3956 and 3963 is 15677628.