Least Common Multiple of 3948 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 3948 and 3956 the smallest integer that is 3904572 that is divisible by both numbers.

Least Common Multiple (LCM) of 3948 and 3956 is 3904572.

LCM(3948,3956) = 3904572

LCM of 3948 and 3956

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

LCM of:
and

Least Common Multiple of 3948 and 3956

LCM of 3948 and 3956 is 3904572

Least common multiple can be found by multiplying the highest exponent prime factors of 3948 and 3956. First we will calculate the prime factors of 3948 and 3956.

Prime Factorization of 3948


2 3948
2 1974
3 987
7 329
47 47
1

Prime factors of 3948 are 2, 3, 7,47. Prime factorization of 3948 in exponential form is:

3948 = 22×31×71×471

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 3948 and 3956.

LCM(3948,3956) = 22×31×71×231×431×471
LCM(3948,3956) = 3904572

Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948

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 3948 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 3948 and 3956, than apply into the LCM equation.

GCF(3948,3956) = 4
LCM(3948,3956) = ( 3948 × 3956) / 4
LCM(3948,3956) = 15618288 / 4
LCM(3948,3956) = 3904572

Properties of LCM 3948 and 3956

(i) The LCM of 3956 and 3948 is associative

LCM of 3948 and 3956 = LCM of 3956 and 3948

Related Least Common Multiples of 3948

Related Least Common Multiples of 3956

Frequently Asked Questions on LCM of 3948 and 3956

1. What is the LCM of 3948 and 3956?

Answer: LCM of 3948 and 3956 is 3904572.

2. What are the Factors of 3948?

Answer: Factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. There are 24 integers that are factors of 3948. The greatest factor of 3948 is 3948.

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 3948 and 3956?

Answer:

Least Common Multiple of 3948 and 3956 = 3904572

Step 1: Find the prime factorization of 3948

3948 = 2 x 2 x 3 x 7 x 47

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 = 3904572 = 2 x 2 x 3 x 7 x 23 x 43 x 47

Step 4: Therefore, the least common multiple of 3948 and 3956 is 3904572.