Least Common Multiple of 5937 and 5943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5937 and 5943 the smallest integer that is 11761197 that is divisible by both numbers.

Least Common Multiple (LCM) of 5937 and 5943 is 11761197.

LCM(5937,5943) = 11761197

LCM of 5937 and 5943

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

LCM of:
and

Least Common Multiple of 5937 and 5943

LCM of 5937 and 5943 is 11761197

Least common multiple can be found by multiplying the highest exponent prime factors of 5937 and 5943. First we will calculate the prime factors of 5937 and 5943.

Prime Factorization of 5937


3 5937
1979 1979
1

Prime factors of 5937 are 3,1979. Prime factorization of 5937 in exponential form is:

5937 = 31×19791

Prime Factorization of 5943


3 5943
7 1981
283 283
1

Prime factors of 5943 are 3, 7,283. Prime factorization of 5943 in exponential form is:

5943 = 31×71×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5937 and 5943.

LCM(5937,5943) = 31×71×2831×19791
LCM(5937,5943) = 11761197

Factors of 5937

List of positive integer factors of 5937 that divides 5937 without a remainder.

1, 3, 1979, 5937

Factors of 5943

List of positive integer factors of 5943 that divides 5943 without a remainder.

1, 3, 7, 21, 283, 849, 1981, 5943

Least Common Multiple of 5937 and 5943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5937 and 5943, than apply into the LCM equation.

GCF(5937,5943) = 3
LCM(5937,5943) = ( 5937 × 5943) / 3
LCM(5937,5943) = 35283591 / 3
LCM(5937,5943) = 11761197

Properties of LCM 5937 and 5943

(i) The LCM of 5943 and 5937 is associative

LCM of 5937 and 5943 = LCM of 5943 and 5937

Related Least Common Multiples of 5937

Related Least Common Multiples of 5943

Frequently Asked Questions on LCM of 5937 and 5943

1. What is the LCM of 5937 and 5943?

Answer: LCM of 5937 and 5943 is 11761197.

2. What are the Factors of 5937?

Answer: Factors of 5937 are 1, 3, 1979, 5937. There are 4 integers that are factors of 5937. The greatest factor of 5937 is 5937.

3. What are the Factors of 5943?

Answer: Factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943. There are 8 integers that are factors of 5943. The greatest factor of 5943 is 5943.

4. How to Find the LCM of 5937 and 5943?

Answer:

Least Common Multiple of 5937 and 5943 = 11761197

Step 1: Find the prime factorization of 5937

5937 = 3 x 1979

Step 2: Find the prime factorization of 5943

5943 = 3 x 7 x 283

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

LCM = 11761197 = 3 x 7 x 283 x 1979

Step 4: Therefore, the least common multiple of 5937 and 5943 is 11761197.