Least Common Multiple of 3938 and 3943

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 3943 the smallest integer that is 15527534 that is divisible by both numbers.

Least Common Multiple (LCM) of 3938 and 3943 is 15527534.

LCM(3938,3943) = 15527534

LCM of 3938 and 3943

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

LCM of:
and

Least Common Multiple of 3938 and 3943

LCM of 3938 and 3943 is 15527534

Least common multiple can be found by multiplying the highest exponent prime factors of 3938 and 3943. First we will calculate the prime factors of 3938 and 3943.

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 3943


3943 3943
1

Prime factors of 3943 are 3943. Prime factorization of 3943 in exponential form is:

3943 = 39431

Now multiplying the highest exponent prime factors to calculate the LCM of 3938 and 3943.

LCM(3938,3943) = 21×111×1791×39431
LCM(3938,3943) = 15527534

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 3943

List of positive integer factors of 3943 that divides 3943 without a remainder.

1, 3943

Least Common Multiple of 3938 and 3943 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 3943, than apply into the LCM equation.

GCF(3938,3943) = 1
LCM(3938,3943) = ( 3938 × 3943) / 1
LCM(3938,3943) = 15527534 / 1
LCM(3938,3943) = 15527534

Properties of LCM 3938 and 3943

(i) The LCM of 3943 and 3938 is associative

LCM of 3938 and 3943 = LCM of 3943 and 3938

Related Least Common Multiples of 3938

Related Least Common Multiples of 3943

Frequently Asked Questions on LCM of 3938 and 3943

1. What is the LCM of 3938 and 3943?

Answer: LCM of 3938 and 3943 is 15527534.

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 3943?

Answer: Factors of 3943 are 1, 3943. There are 2 integers that are factors of 3943. The greatest factor of 3943 is 3943.

4. How to Find the LCM of 3938 and 3943?

Answer:

Least Common Multiple of 3938 and 3943 = 15527534

Step 1: Find the prime factorization of 3938

3938 = 2 x 11 x 179

Step 2: Find the prime factorization of 3943

3943 = 3943

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

LCM = 15527534 = 2 x 11 x 179 x 3943

Step 4: Therefore, the least common multiple of 3938 and 3943 is 15527534.