Least Common Multiple of 3946 and 3952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3946 and 3952 the smallest integer that is 7797296 that is divisible by both numbers.

Least Common Multiple (LCM) of 3946 and 3952 is 7797296.

LCM(3946,3952) = 7797296

LCM of 3946 and 3952

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

LCM of:
and

Least Common Multiple of 3946 and 3952

LCM of 3946 and 3952 is 7797296

Least common multiple can be found by multiplying the highest exponent prime factors of 3946 and 3952. First we will calculate the prime factors of 3946 and 3952.

Prime Factorization of 3946


2 3946
1973 1973
1

Prime factors of 3946 are 2,1973. Prime factorization of 3946 in exponential form is:

3946 = 21×19731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3946 and 3952.

LCM(3946,3952) = 24×131×191×19731
LCM(3946,3952) = 7797296

Factors of 3946

List of positive integer factors of 3946 that divides 3946 without a remainder.

1, 2, 1973, 3946

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

Least Common Multiple of 3946 and 3952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3946 and 3952, than apply into the LCM equation.

GCF(3946,3952) = 2
LCM(3946,3952) = ( 3946 × 3952) / 2
LCM(3946,3952) = 15594592 / 2
LCM(3946,3952) = 7797296

Properties of LCM 3946 and 3952

(i) The LCM of 3952 and 3946 is associative

LCM of 3946 and 3952 = LCM of 3952 and 3946

Related Least Common Multiples of 3946

Related Least Common Multiples of 3952

Frequently Asked Questions on LCM of 3946 and 3952

1. What is the LCM of 3946 and 3952?

Answer: LCM of 3946 and 3952 is 7797296.

2. What are the Factors of 3946?

Answer: Factors of 3946 are 1, 2, 1973, 3946. There are 4 integers that are factors of 3946. The greatest factor of 3946 is 3946.

3. 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.

4. How to Find the LCM of 3946 and 3952?

Answer:

Least Common Multiple of 3946 and 3952 = 7797296

Step 1: Find the prime factorization of 3946

3946 = 2 x 1973

Step 2: Find the prime factorization of 3952

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

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

LCM = 7797296 = 2 x 2 x 2 x 2 x 13 x 19 x 1973

Step 4: Therefore, the least common multiple of 3946 and 3952 is 7797296.