Least Common Multiple of 5980 and 5984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5980 and 5984 the smallest integer that is 8946080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5980 and 5984 is 8946080.

LCM(5980,5984) = 8946080

LCM of 5980 and 5984

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

LCM of:
and

Least Common Multiple of 5980 and 5984

LCM of 5980 and 5984 is 8946080

Least common multiple can be found by multiplying the highest exponent prime factors of 5980 and 5984. First we will calculate the prime factors of 5980 and 5984.

Prime Factorization of 5980


2 5980
2 2990
5 1495
13 299
23 23
1

Prime factors of 5980 are 2, 5, 13,23. Prime factorization of 5980 in exponential form is:

5980 = 22×51×131×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5980 and 5984.

LCM(5980,5984) = 25×51×111×131×171×231
LCM(5980,5984) = 8946080

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980

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

Least Common Multiple of 5980 and 5984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5980 and 5984, than apply into the LCM equation.

GCF(5980,5984) = 4
LCM(5980,5984) = ( 5980 × 5984) / 4
LCM(5980,5984) = 35784320 / 4
LCM(5980,5984) = 8946080

Properties of LCM 5980 and 5984

(i) The LCM of 5984 and 5980 is associative

LCM of 5980 and 5984 = LCM of 5984 and 5980

Related Least Common Multiples of 5980

Related Least Common Multiples of 5984

Frequently Asked Questions on LCM of 5980 and 5984

1. What is the LCM of 5980 and 5984?

Answer: LCM of 5980 and 5984 is 8946080.

2. What are the Factors of 5980?

Answer: Factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980. There are 24 integers that are factors of 5980. The greatest factor of 5980 is 5980.

3. 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.

4. How to Find the LCM of 5980 and 5984?

Answer:

Least Common Multiple of 5980 and 5984 = 8946080

Step 1: Find the prime factorization of 5980

5980 = 2 x 2 x 5 x 13 x 23

Step 2: Find the prime factorization of 5984

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

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

LCM = 8946080 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 5980 and 5984 is 8946080.