Least Common Multiple of 3946 and 3950

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 3950 the smallest integer that is 7793350 that is divisible by both numbers.

Least Common Multiple (LCM) of 3946 and 3950 is 7793350.

LCM(3946,3950) = 7793350

LCM of 3946 and 3950

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

LCM of:
and

Least Common Multiple of 3946 and 3950

LCM of 3946 and 3950 is 7793350

Least common multiple can be found by multiplying the highest exponent prime factors of 3946 and 3950. First we will calculate the prime factors of 3946 and 3950.

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 3950


2 3950
5 1975
5 395
79 79
1

Prime factors of 3950 are 2, 5,79. Prime factorization of 3950 in exponential form is:

3950 = 21×52×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3946 and 3950.

LCM(3946,3950) = 21×52×791×19731
LCM(3946,3950) = 7793350

Factors of 3946

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

1, 2, 1973, 3946

Factors of 3950

List of positive integer factors of 3950 that divides 3950 without a remainder.

1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950

Least Common Multiple of 3946 and 3950 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 3950, than apply into the LCM equation.

GCF(3946,3950) = 2
LCM(3946,3950) = ( 3946 × 3950) / 2
LCM(3946,3950) = 15586700 / 2
LCM(3946,3950) = 7793350

Properties of LCM 3946 and 3950

(i) The LCM of 3950 and 3946 is associative

LCM of 3946 and 3950 = LCM of 3950 and 3946

Related Least Common Multiples of 3946

Related Least Common Multiples of 3950

Frequently Asked Questions on LCM of 3946 and 3950

1. What is the LCM of 3946 and 3950?

Answer: LCM of 3946 and 3950 is 7793350.

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 3950?

Answer: Factors of 3950 are 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950. There are 12 integers that are factors of 3950. The greatest factor of 3950 is 3950.

4. How to Find the LCM of 3946 and 3950?

Answer:

Least Common Multiple of 3946 and 3950 = 7793350

Step 1: Find the prime factorization of 3946

3946 = 2 x 1973

Step 2: Find the prime factorization of 3950

3950 = 2 x 5 x 5 x 79

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

LCM = 7793350 = 2 x 5 x 5 x 79 x 1973

Step 4: Therefore, the least common multiple of 3946 and 3950 is 7793350.