Least Common Multiple of 3942 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 3942 and 3943 the smallest integer that is 15543306 that is divisible by both numbers.

Least Common Multiple (LCM) of 3942 and 3943 is 15543306.

LCM(3942,3943) = 15543306

LCM of 3942 and 3943

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

LCM of:
and

Least Common Multiple of 3942 and 3943

LCM of 3942 and 3943 is 15543306

Least common multiple can be found by multiplying the highest exponent prime factors of 3942 and 3943. First we will calculate the prime factors of 3942 and 3943.

Prime Factorization of 3942


2 3942
3 1971
3 657
3 219
73 73
1

Prime factors of 3942 are 2, 3,73. Prime factorization of 3942 in exponential form is:

3942 = 21×33×731

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 3942 and 3943.

LCM(3942,3943) = 21×33×731×39431
LCM(3942,3943) = 15543306

Factors of 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942

Factors of 3943

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

1, 3943

Least Common Multiple of 3942 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 3942 and 3943, than apply into the LCM equation.

GCF(3942,3943) = 1
LCM(3942,3943) = ( 3942 × 3943) / 1
LCM(3942,3943) = 15543306 / 1
LCM(3942,3943) = 15543306

Properties of LCM 3942 and 3943

(i) The LCM of 3943 and 3942 is associative

LCM of 3942 and 3943 = LCM of 3943 and 3942

Related Least Common Multiples of 3942

Related Least Common Multiples of 3943

Frequently Asked Questions on LCM of 3942 and 3943

1. What is the LCM of 3942 and 3943?

Answer: LCM of 3942 and 3943 is 15543306.

2. What are the Factors of 3942?

Answer: Factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942. There are 16 integers that are factors of 3942. The greatest factor of 3942 is 3942.

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 3942 and 3943?

Answer:

Least Common Multiple of 3942 and 3943 = 15543306

Step 1: Find the prime factorization of 3942

3942 = 2 x 3 x 3 x 3 x 73

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 = 15543306 = 2 x 3 x 3 x 3 x 73 x 3943

Step 4: Therefore, the least common multiple of 3942 and 3943 is 15543306.