Least Common Multiple of 5984 and 5990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5984 and 5990 the smallest integer that is 17922080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5984 and 5990 is 17922080.

LCM(5984,5990) = 17922080

LCM of 5984 and 5990

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

LCM of:
and

Least Common Multiple of 5984 and 5990

LCM of 5984 and 5990 is 17922080

Least common multiple can be found by multiplying the highest exponent prime factors of 5984 and 5990. First we will calculate the prime factors of 5984 and 5990.

Prime Factorization of 5984


2 5984
2 2992
2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 5984 are 2, 11,17. Prime factorization of 5984 in exponential form is:

5984 = 25×111×171

Prime Factorization of 5990


2 5990
5 2995
599 599
1

Prime factors of 5990 are 2, 5,599. Prime factorization of 5990 in exponential form is:

5990 = 21×51×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 5984 and 5990.

LCM(5984,5990) = 25×51×111×171×5991
LCM(5984,5990) = 17922080

Factors of 5984

List of positive integer factors of 5984 that divides 5984 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984

Factors of 5990

List of positive integer factors of 5990 that divides 5990 without a remainder.

1, 2, 5, 10, 599, 1198, 2995, 5990

Least Common Multiple of 5984 and 5990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5984 and 5990, than apply into the LCM equation.

GCF(5984,5990) = 2
LCM(5984,5990) = ( 5984 × 5990) / 2
LCM(5984,5990) = 35844160 / 2
LCM(5984,5990) = 17922080

Properties of LCM 5984 and 5990

(i) The LCM of 5990 and 5984 is associative

LCM of 5984 and 5990 = LCM of 5990 and 5984

Related Least Common Multiples of 5984

Related Least Common Multiples of 5990

Frequently Asked Questions on LCM of 5984 and 5990

1. What is the LCM of 5984 and 5990?

Answer: LCM of 5984 and 5990 is 17922080.

2. What are the Factors of 5984?

Answer: Factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984. There are 24 integers that are factors of 5984. The greatest factor of 5984 is 5984.

3. What are the Factors of 5990?

Answer: Factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990. There are 8 integers that are factors of 5990. The greatest factor of 5990 is 5990.

4. How to Find the LCM of 5984 and 5990?

Answer:

Least Common Multiple of 5984 and 5990 = 17922080

Step 1: Find the prime factorization of 5984

5984 = 2 x 2 x 2 x 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 5990

5990 = 2 x 5 x 599

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

LCM = 17922080 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 17 x 599

Step 4: Therefore, the least common multiple of 5984 and 5990 is 17922080.