Least Common Multiple of 3956 and 3962

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 3962 the smallest integer that is 7836836 that is divisible by both numbers.

Least Common Multiple (LCM) of 3956 and 3962 is 7836836.

LCM(3956,3962) = 7836836

LCM of 3956 and 3962

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

LCM of:
and

Least Common Multiple of 3956 and 3962

LCM of 3956 and 3962 is 7836836

Least common multiple can be found by multiplying the highest exponent prime factors of 3956 and 3962. First we will calculate the prime factors of 3956 and 3962.

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 3962


2 3962
7 1981
283 283
1

Prime factors of 3962 are 2, 7,283. Prime factorization of 3962 in exponential form is:

3962 = 21×71×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 3956 and 3962.

LCM(3956,3962) = 22×71×231×431×2831
LCM(3956,3962) = 7836836

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 3962

List of positive integer factors of 3962 that divides 3962 without a remainder.

1, 2, 7, 14, 283, 566, 1981, 3962

Least Common Multiple of 3956 and 3962 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 3962, than apply into the LCM equation.

GCF(3956,3962) = 2
LCM(3956,3962) = ( 3956 × 3962) / 2
LCM(3956,3962) = 15673672 / 2
LCM(3956,3962) = 7836836

Properties of LCM 3956 and 3962

(i) The LCM of 3962 and 3956 is associative

LCM of 3956 and 3962 = LCM of 3962 and 3956

Related Least Common Multiples of 3956

Related Least Common Multiples of 3962

Frequently Asked Questions on LCM of 3956 and 3962

1. What is the LCM of 3956 and 3962?

Answer: LCM of 3956 and 3962 is 7836836.

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 3962?

Answer: Factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962. There are 8 integers that are factors of 3962. The greatest factor of 3962 is 3962.

4. How to Find the LCM of 3956 and 3962?

Answer:

Least Common Multiple of 3956 and 3962 = 7836836

Step 1: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

Step 2: Find the prime factorization of 3962

3962 = 2 x 7 x 283

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

LCM = 7836836 = 2 x 2 x 7 x 23 x 43 x 283

Step 4: Therefore, the least common multiple of 3956 and 3962 is 7836836.