Least Common Multiple of 3938 and 3946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3938 and 3946 the smallest integer that is 7769674 that is divisible by both numbers.

Least Common Multiple (LCM) of 3938 and 3946 is 7769674.

LCM(3938,3946) = 7769674

LCM of 3938 and 3946

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

LCM of:
and

Least Common Multiple of 3938 and 3946

LCM of 3938 and 3946 is 7769674

Least common multiple can be found by multiplying the highest exponent prime factors of 3938 and 3946. First we will calculate the prime factors of 3938 and 3946.

Prime Factorization of 3938


2 3938
11 1969
179 179
1

Prime factors of 3938 are 2, 11,179. Prime factorization of 3938 in exponential form is:

3938 = 21×111×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3938 and 3946.

LCM(3938,3946) = 21×111×1791×19731
LCM(3938,3946) = 7769674

Factors of 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1, 2, 11, 22, 179, 358, 1969, 3938

Factors of 3946

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

1, 2, 1973, 3946

Least Common Multiple of 3938 and 3946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3938 and 3946, than apply into the LCM equation.

GCF(3938,3946) = 2
LCM(3938,3946) = ( 3938 × 3946) / 2
LCM(3938,3946) = 15539348 / 2
LCM(3938,3946) = 7769674

Properties of LCM 3938 and 3946

(i) The LCM of 3946 and 3938 is associative

LCM of 3938 and 3946 = LCM of 3946 and 3938

Related Least Common Multiples of 3938

Related Least Common Multiples of 3946

Frequently Asked Questions on LCM of 3938 and 3946

1. What is the LCM of 3938 and 3946?

Answer: LCM of 3938 and 3946 is 7769674.

2. What are the Factors of 3938?

Answer: Factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938. There are 8 integers that are factors of 3938. The greatest factor of 3938 is 3938.

3. 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.

4. How to Find the LCM of 3938 and 3946?

Answer:

Least Common Multiple of 3938 and 3946 = 7769674

Step 1: Find the prime factorization of 3938

3938 = 2 x 11 x 179

Step 2: Find the prime factorization of 3946

3946 = 2 x 1973

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

LCM = 7769674 = 2 x 11 x 179 x 1973

Step 4: Therefore, the least common multiple of 3938 and 3946 is 7769674.