Least Common Multiple of 5983 and 5987

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 5987 the smallest integer that is 35820221 that is divisible by both numbers.

Least Common Multiple (LCM) of 5983 and 5987 is 35820221.

LCM(5983,5987) = 35820221

LCM of 5983 and 5987

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

LCM of:
and

Least Common Multiple of 5983 and 5987

LCM of 5983 and 5987 is 35820221

Least common multiple can be found by multiplying the highest exponent prime factors of 5983 and 5987. First we will calculate the prime factors of 5983 and 5987.

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 5987


5987 5987
1

Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:

5987 = 59871

Now multiplying the highest exponent prime factors to calculate the LCM of 5983 and 5987.

LCM(5983,5987) = 311×1931×59871
LCM(5983,5987) = 35820221

Factors of 5983

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

1, 31, 193, 5983

Factors of 5987

List of positive integer factors of 5987 that divides 5987 without a remainder.

1, 5987

Least Common Multiple of 5983 and 5987 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 5987, than apply into the LCM equation.

GCF(5983,5987) = 1
LCM(5983,5987) = ( 5983 × 5987) / 1
LCM(5983,5987) = 35820221 / 1
LCM(5983,5987) = 35820221

Properties of LCM 5983 and 5987

(i) The LCM of 5987 and 5983 is associative

LCM of 5983 and 5987 = LCM of 5987 and 5983

Related Least Common Multiples of 5983

Related Least Common Multiples of 5987

Frequently Asked Questions on LCM of 5983 and 5987

1. What is the LCM of 5983 and 5987?

Answer: LCM of 5983 and 5987 is 35820221.

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 5987?

Answer: Factors of 5987 are 1, 5987. There are 2 integers that are factors of 5987. The greatest factor of 5987 is 5987.

4. How to Find the LCM of 5983 and 5987?

Answer:

Least Common Multiple of 5983 and 5987 = 35820221

Step 1: Find the prime factorization of 5983

5983 = 31 x 193

Step 2: Find the prime factorization of 5987

5987 = 5987

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

LCM = 35820221 = 31 x 193 x 5987

Step 4: Therefore, the least common multiple of 5983 and 5987 is 35820221.