Least Common Multiple of 5982 and 5983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5982 and 5983 the smallest integer that is 35790306 that is divisible by both numbers.

Least Common Multiple (LCM) of 5982 and 5983 is 35790306.

LCM(5982,5983) = 35790306

LCM of 5982 and 5983

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

LCM of:
and

Least Common Multiple of 5982 and 5983

LCM of 5982 and 5983 is 35790306

Least common multiple can be found by multiplying the highest exponent prime factors of 5982 and 5983. First we will calculate the prime factors of 5982 and 5983.

Prime Factorization of 5982


2 5982
3 2991
997 997
1

Prime factors of 5982 are 2, 3,997. Prime factorization of 5982 in exponential form is:

5982 = 21×31×9971

Prime Factorization of 5983


31 5983
193 193
1

Prime factors of 5983 are 31,193. Prime factorization of 5983 in exponential form is:

5983 = 311×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5982 and 5983.

LCM(5982,5983) = 21×31×311×1931×9971
LCM(5982,5983) = 35790306

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1, 2, 3, 6, 997, 1994, 2991, 5982

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1, 31, 193, 5983

Least Common Multiple of 5982 and 5983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5982 and 5983, than apply into the LCM equation.

GCF(5982,5983) = 1
LCM(5982,5983) = ( 5982 × 5983) / 1
LCM(5982,5983) = 35790306 / 1
LCM(5982,5983) = 35790306

Properties of LCM 5982 and 5983

(i) The LCM of 5983 and 5982 is associative

LCM of 5982 and 5983 = LCM of 5983 and 5982

Related Least Common Multiples of 5982

Related Least Common Multiples of 5983

Frequently Asked Questions on LCM of 5982 and 5983

1. What is the LCM of 5982 and 5983?

Answer: LCM of 5982 and 5983 is 35790306.

2. What are the Factors of 5982?

Answer: Factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. There are 8 integers that are factors of 5982. The greatest factor of 5982 is 5982.

3. What are the Factors of 5983?

Answer: Factors of 5983 are 1, 31, 193, 5983. There are 4 integers that are factors of 5983. The greatest factor of 5983 is 5983.

4. How to Find the LCM of 5982 and 5983?

Answer:

Least Common Multiple of 5982 and 5983 = 35790306

Step 1: Find the prime factorization of 5982

5982 = 2 x 3 x 997

Step 2: Find the prime factorization of 5983

5983 = 31 x 193

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

LCM = 35790306 = 2 x 3 x 31 x 193 x 997

Step 4: Therefore, the least common multiple of 5982 and 5983 is 35790306.