Least Common Multiple of 3952 and 3957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3952 and 3957 the smallest integer that is 15638064 that is divisible by both numbers.

Least Common Multiple (LCM) of 3952 and 3957 is 15638064.

LCM(3952,3957) = 15638064

LCM of 3952 and 3957

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

LCM of:
and

Least Common Multiple of 3952 and 3957

LCM of 3952 and 3957 is 15638064

Least common multiple can be found by multiplying the highest exponent prime factors of 3952 and 3957. First we will calculate the prime factors of 3952 and 3957.

Prime Factorization of 3952


2 3952
2 1976
2 988
2 494
13 247
19 19
1

Prime factors of 3952 are 2, 13,19. Prime factorization of 3952 in exponential form is:

3952 = 24×131×191

Prime Factorization of 3957


3 3957
1319 1319
1

Prime factors of 3957 are 3,1319. Prime factorization of 3957 in exponential form is:

3957 = 31×13191

Now multiplying the highest exponent prime factors to calculate the LCM of 3952 and 3957.

LCM(3952,3957) = 24×31×131×191×13191
LCM(3952,3957) = 15638064

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952

Factors of 3957

List of positive integer factors of 3957 that divides 3957 without a remainder.

1, 3, 1319, 3957

Least Common Multiple of 3952 and 3957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3952 and 3957, than apply into the LCM equation.

GCF(3952,3957) = 1
LCM(3952,3957) = ( 3952 × 3957) / 1
LCM(3952,3957) = 15638064 / 1
LCM(3952,3957) = 15638064

Properties of LCM 3952 and 3957

(i) The LCM of 3957 and 3952 is associative

LCM of 3952 and 3957 = LCM of 3957 and 3952

Related Least Common Multiples of 3952

Related Least Common Multiples of 3957

Frequently Asked Questions on LCM of 3952 and 3957

1. What is the LCM of 3952 and 3957?

Answer: LCM of 3952 and 3957 is 15638064.

2. What are the Factors of 3952?

Answer: Factors of 3952 are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952. There are 20 integers that are factors of 3952. The greatest factor of 3952 is 3952.

3. What are the Factors of 3957?

Answer: Factors of 3957 are 1, 3, 1319, 3957. There are 4 integers that are factors of 3957. The greatest factor of 3957 is 3957.

4. How to Find the LCM of 3952 and 3957?

Answer:

Least Common Multiple of 3952 and 3957 = 15638064

Step 1: Find the prime factorization of 3952

3952 = 2 x 2 x 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 3957

3957 = 3 x 1319

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

LCM = 15638064 = 2 x 2 x 2 x 2 x 3 x 13 x 19 x 1319

Step 4: Therefore, the least common multiple of 3952 and 3957 is 15638064.