Least Common Multiple of 5943 and 5949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5943 and 5949 the smallest integer that is 11784969 that is divisible by both numbers.

Least Common Multiple (LCM) of 5943 and 5949 is 11784969.

LCM(5943,5949) = 11784969

LCM of 5943 and 5949

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

LCM of:
and

Least Common Multiple of 5943 and 5949

LCM of 5943 and 5949 is 11784969

Least common multiple can be found by multiplying the highest exponent prime factors of 5943 and 5949. First we will calculate the prime factors of 5943 and 5949.

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

Prime Factorization of 5949


3 5949
3 1983
661 661
1

Prime factors of 5949 are 3,661. Prime factorization of 5949 in exponential form is:

5949 = 32×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 5943 and 5949.

LCM(5943,5949) = 32×71×2831×6611
LCM(5943,5949) = 11784969

Factors of 5943

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

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

Factors of 5949

List of positive integer factors of 5949 that divides 5949 without a remainder.

1, 3, 9, 661, 1983, 5949

Least Common Multiple of 5943 and 5949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5943 and 5949, than apply into the LCM equation.

GCF(5943,5949) = 3
LCM(5943,5949) = ( 5943 × 5949) / 3
LCM(5943,5949) = 35354907 / 3
LCM(5943,5949) = 11784969

Properties of LCM 5943 and 5949

(i) The LCM of 5949 and 5943 is associative

LCM of 5943 and 5949 = LCM of 5949 and 5943

Related Least Common Multiples of 5943

Related Least Common Multiples of 5949

Frequently Asked Questions on LCM of 5943 and 5949

1. What is the LCM of 5943 and 5949?

Answer: LCM of 5943 and 5949 is 11784969.

2. 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.

3. What are the Factors of 5949?

Answer: Factors of 5949 are 1, 3, 9, 661, 1983, 5949. There are 6 integers that are factors of 5949. The greatest factor of 5949 is 5949.

4. How to Find the LCM of 5943 and 5949?

Answer:

Least Common Multiple of 5943 and 5949 = 11784969

Step 1: Find the prime factorization of 5943

5943 = 3 x 7 x 283

Step 2: Find the prime factorization of 5949

5949 = 3 x 3 x 661

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

LCM = 11784969 = 3 x 3 x 7 x 283 x 661

Step 4: Therefore, the least common multiple of 5943 and 5949 is 11784969.