Least Common Multiple of 3956 and 3964

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 3964 the smallest integer that is 3920396 that is divisible by both numbers.

Least Common Multiple (LCM) of 3956 and 3964 is 3920396.

LCM(3956,3964) = 3920396

LCM of 3956 and 3964

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

LCM of:
and

Least Common Multiple of 3956 and 3964

LCM of 3956 and 3964 is 3920396

Least common multiple can be found by multiplying the highest exponent prime factors of 3956 and 3964. First we will calculate the prime factors of 3956 and 3964.

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 3964


2 3964
2 1982
991 991
1

Prime factors of 3964 are 2,991. Prime factorization of 3964 in exponential form is:

3964 = 22×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 3956 and 3964.

LCM(3956,3964) = 22×231×431×9911
LCM(3956,3964) = 3920396

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 3964

List of positive integer factors of 3964 that divides 3964 without a remainder.

1, 2, 4, 991, 1982, 3964

Least Common Multiple of 3956 and 3964 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 3964, than apply into the LCM equation.

GCF(3956,3964) = 4
LCM(3956,3964) = ( 3956 × 3964) / 4
LCM(3956,3964) = 15681584 / 4
LCM(3956,3964) = 3920396

Properties of LCM 3956 and 3964

(i) The LCM of 3964 and 3956 is associative

LCM of 3956 and 3964 = LCM of 3964 and 3956

Related Least Common Multiples of 3956

Related Least Common Multiples of 3964

Frequently Asked Questions on LCM of 3956 and 3964

1. What is the LCM of 3956 and 3964?

Answer: LCM of 3956 and 3964 is 3920396.

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 3964?

Answer: Factors of 3964 are 1, 2, 4, 991, 1982, 3964. There are 6 integers that are factors of 3964. The greatest factor of 3964 is 3964.

4. How to Find the LCM of 3956 and 3964?

Answer:

Least Common Multiple of 3956 and 3964 = 3920396

Step 1: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

Step 2: Find the prime factorization of 3964

3964 = 2 x 2 x 991

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

LCM = 3920396 = 2 x 2 x 23 x 43 x 991

Step 4: Therefore, the least common multiple of 3956 and 3964 is 3920396.