Least Common Multiple of 3952 and 3960

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 3960 the smallest integer that is 1956240 that is divisible by both numbers.

Least Common Multiple (LCM) of 3952 and 3960 is 1956240.

LCM(3952,3960) = 1956240

LCM of 3952 and 3960

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

LCM of:
and

Least Common Multiple of 3952 and 3960

LCM of 3952 and 3960 is 1956240

Least common multiple can be found by multiplying the highest exponent prime factors of 3952 and 3960. First we will calculate the prime factors of 3952 and 3960.

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 3960


2 3960
2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 3960 are 2, 3, 5,11. Prime factorization of 3960 in exponential form is:

3960 = 23×32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3952 and 3960.

LCM(3952,3960) = 24×32×51×111×131×191
LCM(3952,3960) = 1956240

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 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960

Least Common Multiple of 3952 and 3960 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 3960, than apply into the LCM equation.

GCF(3952,3960) = 8
LCM(3952,3960) = ( 3952 × 3960) / 8
LCM(3952,3960) = 15649920 / 8
LCM(3952,3960) = 1956240

Properties of LCM 3952 and 3960

(i) The LCM of 3960 and 3952 is associative

LCM of 3952 and 3960 = LCM of 3960 and 3952

Related Least Common Multiples of 3952

Related Least Common Multiples of 3960

Frequently Asked Questions on LCM of 3952 and 3960

1. What is the LCM of 3952 and 3960?

Answer: LCM of 3952 and 3960 is 1956240.

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 3960?

Answer: Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. There are 48 integers that are factors of 3960. The greatest factor of 3960 is 3960.

4. How to Find the LCM of 3952 and 3960?

Answer:

Least Common Multiple of 3952 and 3960 = 1956240

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 3960

3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11

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

LCM = 1956240 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 3952 and 3960 is 1956240.