Least Common Multiple of 3932 and 3938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3932 and 3938 the smallest integer that is 7742108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3932 and 3938 is 7742108.

LCM(3932,3938) = 7742108

LCM of 3932 and 3938

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

LCM of:
and

Least Common Multiple of 3932 and 3938

LCM of 3932 and 3938 is 7742108

Least common multiple can be found by multiplying the highest exponent prime factors of 3932 and 3938. First we will calculate the prime factors of 3932 and 3938.

Prime Factorization of 3932


2 3932
2 1966
983 983
1

Prime factors of 3932 are 2,983. Prime factorization of 3932 in exponential form is:

3932 = 22×9831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3932 and 3938.

LCM(3932,3938) = 22×111×1791×9831
LCM(3932,3938) = 7742108

Factors of 3932

List of positive integer factors of 3932 that divides 3932 without a remainder.

1, 2, 4, 983, 1966, 3932

Factors of 3938

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

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

Least Common Multiple of 3932 and 3938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3932 and 3938, than apply into the LCM equation.

GCF(3932,3938) = 2
LCM(3932,3938) = ( 3932 × 3938) / 2
LCM(3932,3938) = 15484216 / 2
LCM(3932,3938) = 7742108

Properties of LCM 3932 and 3938

(i) The LCM of 3938 and 3932 is associative

LCM of 3932 and 3938 = LCM of 3938 and 3932

Related Least Common Multiples of 3932

Related Least Common Multiples of 3938

Frequently Asked Questions on LCM of 3932 and 3938

1. What is the LCM of 3932 and 3938?

Answer: LCM of 3932 and 3938 is 7742108.

2. What are the Factors of 3932?

Answer: Factors of 3932 are 1, 2, 4, 983, 1966, 3932. There are 6 integers that are factors of 3932. The greatest factor of 3932 is 3932.

3. 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.

4. How to Find the LCM of 3932 and 3938?

Answer:

Least Common Multiple of 3932 and 3938 = 7742108

Step 1: Find the prime factorization of 3932

3932 = 2 x 2 x 983

Step 2: Find the prime factorization of 3938

3938 = 2 x 11 x 179

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

LCM = 7742108 = 2 x 2 x 11 x 179 x 983

Step 4: Therefore, the least common multiple of 3932 and 3938 is 7742108.