Least Common Multiple of 3951 and 3956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3951 and 3956 the smallest integer that is 15630156 that is divisible by both numbers.

Least Common Multiple (LCM) of 3951 and 3956 is 15630156.

LCM(3951,3956) = 15630156

LCM of 3951 and 3956

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

LCM of:
and

Least Common Multiple of 3951 and 3956

LCM of 3951 and 3956 is 15630156

Least common multiple can be found by multiplying the highest exponent prime factors of 3951 and 3956. First we will calculate the prime factors of 3951 and 3956.

Prime Factorization of 3951


3 3951
3 1317
439 439
1

Prime factors of 3951 are 3,439. Prime factorization of 3951 in exponential form is:

3951 = 32×4391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3951 and 3956.

LCM(3951,3956) = 22×32×231×431×4391
LCM(3951,3956) = 15630156

Factors of 3951

List of positive integer factors of 3951 that divides 3951 without a remainder.

1, 3, 9, 439, 1317, 3951

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

Least Common Multiple of 3951 and 3956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3951 and 3956, than apply into the LCM equation.

GCF(3951,3956) = 1
LCM(3951,3956) = ( 3951 × 3956) / 1
LCM(3951,3956) = 15630156 / 1
LCM(3951,3956) = 15630156

Properties of LCM 3951 and 3956

(i) The LCM of 3956 and 3951 is associative

LCM of 3951 and 3956 = LCM of 3956 and 3951

Related Least Common Multiples of 3951

Related Least Common Multiples of 3956

Frequently Asked Questions on LCM of 3951 and 3956

1. What is the LCM of 3951 and 3956?

Answer: LCM of 3951 and 3956 is 15630156.

2. What are the Factors of 3951?

Answer: Factors of 3951 are 1, 3, 9, 439, 1317, 3951. There are 6 integers that are factors of 3951. The greatest factor of 3951 is 3951.

3. 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.

4. How to Find the LCM of 3951 and 3956?

Answer:

Least Common Multiple of 3951 and 3956 = 15630156

Step 1: Find the prime factorization of 3951

3951 = 3 x 3 x 439

Step 2: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

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

LCM = 15630156 = 2 x 2 x 3 x 3 x 23 x 43 x 439

Step 4: Therefore, the least common multiple of 3951 and 3956 is 15630156.