Least Common Multiple of 3956 and 3960

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 3960 the smallest integer that is 3916440 that is divisible by both numbers.

Least Common Multiple (LCM) of 3956 and 3960 is 3916440.

LCM(3956,3960) = 3916440

LCM of 3956 and 3960

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

LCM of:
and

Least Common Multiple of 3956 and 3960

LCM of 3956 and 3960 is 3916440

Least common multiple can be found by multiplying the highest exponent prime factors of 3956 and 3960. First we will calculate the prime factors of 3956 and 3960.

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 3960


2 3960
2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 3960 are 2, 3, 5,11. Prime factorization of 3960 in exponential form is:

3960 = 23×32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3956 and 3960.

LCM(3956,3960) = 23×32×51×111×231×431
LCM(3956,3960) = 3916440

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 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960

Least Common Multiple of 3956 and 3960 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 3960, than apply into the LCM equation.

GCF(3956,3960) = 4
LCM(3956,3960) = ( 3956 × 3960) / 4
LCM(3956,3960) = 15665760 / 4
LCM(3956,3960) = 3916440

Properties of LCM 3956 and 3960

(i) The LCM of 3960 and 3956 is associative

LCM of 3956 and 3960 = LCM of 3960 and 3956

Related Least Common Multiples of 3956

Related Least Common Multiples of 3960

Frequently Asked Questions on LCM of 3956 and 3960

1. What is the LCM of 3956 and 3960?

Answer: LCM of 3956 and 3960 is 3916440.

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 3960?

Answer: Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. There are 48 integers that are factors of 3960. The greatest factor of 3960 is 3960.

4. How to Find the LCM of 3956 and 3960?

Answer:

Least Common Multiple of 3956 and 3960 = 3916440

Step 1: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

Step 2: Find the prime factorization of 3960

3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11

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

LCM = 3916440 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 23 x 43

Step 4: Therefore, the least common multiple of 3956 and 3960 is 3916440.