Least Common Multiple of 3956 and 3961

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 3961 the smallest integer that is 15669716 that is divisible by both numbers.

Least Common Multiple (LCM) of 3956 and 3961 is 15669716.

LCM(3956,3961) = 15669716

LCM of 3956 and 3961

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

LCM of:
and

Least Common Multiple of 3956 and 3961

LCM of 3956 and 3961 is 15669716

Least common multiple can be found by multiplying the highest exponent prime factors of 3956 and 3961. First we will calculate the prime factors of 3956 and 3961.

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 3961


17 3961
233 233
1

Prime factors of 3961 are 17,233. Prime factorization of 3961 in exponential form is:

3961 = 171×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3956 and 3961.

LCM(3956,3961) = 22×171×231×431×2331
LCM(3956,3961) = 15669716

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 3961

List of positive integer factors of 3961 that divides 3961 without a remainder.

1, 17, 233, 3961

Least Common Multiple of 3956 and 3961 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 3961, than apply into the LCM equation.

GCF(3956,3961) = 1
LCM(3956,3961) = ( 3956 × 3961) / 1
LCM(3956,3961) = 15669716 / 1
LCM(3956,3961) = 15669716

Properties of LCM 3956 and 3961

(i) The LCM of 3961 and 3956 is associative

LCM of 3956 and 3961 = LCM of 3961 and 3956

Related Least Common Multiples of 3956

Related Least Common Multiples of 3961

Frequently Asked Questions on LCM of 3956 and 3961

1. What is the LCM of 3956 and 3961?

Answer: LCM of 3956 and 3961 is 15669716.

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 3961?

Answer: Factors of 3961 are 1, 17, 233, 3961. There are 4 integers that are factors of 3961. The greatest factor of 3961 is 3961.

4. How to Find the LCM of 3956 and 3961?

Answer:

Least Common Multiple of 3956 and 3961 = 15669716

Step 1: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

Step 2: Find the prime factorization of 3961

3961 = 17 x 233

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

LCM = 15669716 = 2 x 2 x 17 x 23 x 43 x 233

Step 4: Therefore, the least common multiple of 3956 and 3961 is 15669716.