Least Common Multiple of 5983 and 5988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5983 and 5988 the smallest integer that is 35826204 that is divisible by both numbers.

Least Common Multiple (LCM) of 5983 and 5988 is 35826204.

LCM(5983,5988) = 35826204

LCM of 5983 and 5988

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

LCM of:
and

Least Common Multiple of 5983 and 5988

LCM of 5983 and 5988 is 35826204

Least common multiple can be found by multiplying the highest exponent prime factors of 5983 and 5988. First we will calculate the prime factors of 5983 and 5988.

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

Prime Factorization of 5988


2 5988
2 2994
3 1497
499 499
1

Prime factors of 5988 are 2, 3,499. Prime factorization of 5988 in exponential form is:

5988 = 22×31×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 5983 and 5988.

LCM(5983,5988) = 22×31×311×1931×4991
LCM(5983,5988) = 35826204

Factors of 5983

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

1, 31, 193, 5983

Factors of 5988

List of positive integer factors of 5988 that divides 5988 without a remainder.

1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988

Least Common Multiple of 5983 and 5988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5983 and 5988, than apply into the LCM equation.

GCF(5983,5988) = 1
LCM(5983,5988) = ( 5983 × 5988) / 1
LCM(5983,5988) = 35826204 / 1
LCM(5983,5988) = 35826204

Properties of LCM 5983 and 5988

(i) The LCM of 5988 and 5983 is associative

LCM of 5983 and 5988 = LCM of 5988 and 5983

Related Least Common Multiples of 5983

Related Least Common Multiples of 5988

Frequently Asked Questions on LCM of 5983 and 5988

1. What is the LCM of 5983 and 5988?

Answer: LCM of 5983 and 5988 is 35826204.

2. 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.

3. What are the Factors of 5988?

Answer: Factors of 5988 are 1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988. There are 12 integers that are factors of 5988. The greatest factor of 5988 is 5988.

4. How to Find the LCM of 5983 and 5988?

Answer:

Least Common Multiple of 5983 and 5988 = 35826204

Step 1: Find the prime factorization of 5983

5983 = 31 x 193

Step 2: Find the prime factorization of 5988

5988 = 2 x 2 x 3 x 499

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

LCM = 35826204 = 2 x 2 x 3 x 31 x 193 x 499

Step 4: Therefore, the least common multiple of 5983 and 5988 is 35826204.