Least Common Multiple of 3949 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 3949 and 3956 the smallest integer that is 15622244 that is divisible by both numbers.

Least Common Multiple (LCM) of 3949 and 3956 is 15622244.

LCM(3949,3956) = 15622244

LCM of 3949 and 3956

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

LCM of:
and

Least Common Multiple of 3949 and 3956

LCM of 3949 and 3956 is 15622244

Least common multiple can be found by multiplying the highest exponent prime factors of 3949 and 3956. First we will calculate the prime factors of 3949 and 3956.

Prime Factorization of 3949


11 3949
359 359
1

Prime factors of 3949 are 11,359. Prime factorization of 3949 in exponential form is:

3949 = 111×3591

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 3949 and 3956.

LCM(3949,3956) = 22×111×231×431×3591
LCM(3949,3956) = 15622244

Factors of 3949

List of positive integer factors of 3949 that divides 3949 without a remainder.

1, 11, 359, 3949

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 3949 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 3949 and 3956, than apply into the LCM equation.

GCF(3949,3956) = 1
LCM(3949,3956) = ( 3949 × 3956) / 1
LCM(3949,3956) = 15622244 / 1
LCM(3949,3956) = 15622244

Properties of LCM 3949 and 3956

(i) The LCM of 3956 and 3949 is associative

LCM of 3949 and 3956 = LCM of 3956 and 3949

Related Least Common Multiples of 3949

Related Least Common Multiples of 3956

Frequently Asked Questions on LCM of 3949 and 3956

1. What is the LCM of 3949 and 3956?

Answer: LCM of 3949 and 3956 is 15622244.

2. What are the Factors of 3949?

Answer: Factors of 3949 are 1, 11, 359, 3949. There are 4 integers that are factors of 3949. The greatest factor of 3949 is 3949.

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 3949 and 3956?

Answer:

Least Common Multiple of 3949 and 3956 = 15622244

Step 1: Find the prime factorization of 3949

3949 = 11 x 359

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 = 15622244 = 2 x 2 x 11 x 23 x 43 x 359

Step 4: Therefore, the least common multiple of 3949 and 3956 is 15622244.