Least Common Multiple of 5975 and 5980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5975 and 5980 the smallest integer that is 7146100 that is divisible by both numbers.

Least Common Multiple (LCM) of 5975 and 5980 is 7146100.

LCM(5975,5980) = 7146100

LCM of 5975 and 5980

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

LCM of:
and

Least Common Multiple of 5975 and 5980

LCM of 5975 and 5980 is 7146100

Least common multiple can be found by multiplying the highest exponent prime factors of 5975 and 5980. First we will calculate the prime factors of 5975 and 5980.

Prime Factorization of 5975


5 5975
5 1195
239 239
1

Prime factors of 5975 are 5,239. Prime factorization of 5975 in exponential form is:

5975 = 52×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5975 and 5980.

LCM(5975,5980) = 22×52×131×231×2391
LCM(5975,5980) = 7146100

Factors of 5975

List of positive integer factors of 5975 that divides 5975 without a remainder.

1, 5, 25, 239, 1195, 5975

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

Least Common Multiple of 5975 and 5980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5975 and 5980, than apply into the LCM equation.

GCF(5975,5980) = 5
LCM(5975,5980) = ( 5975 × 5980) / 5
LCM(5975,5980) = 35730500 / 5
LCM(5975,5980) = 7146100

Properties of LCM 5975 and 5980

(i) The LCM of 5980 and 5975 is associative

LCM of 5975 and 5980 = LCM of 5980 and 5975

Related Least Common Multiples of 5975

Related Least Common Multiples of 5980

Frequently Asked Questions on LCM of 5975 and 5980

1. What is the LCM of 5975 and 5980?

Answer: LCM of 5975 and 5980 is 7146100.

2. What are the Factors of 5975?

Answer: Factors of 5975 are 1, 5, 25, 239, 1195, 5975. There are 6 integers that are factors of 5975. The greatest factor of 5975 is 5975.

3. 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.

4. How to Find the LCM of 5975 and 5980?

Answer:

Least Common Multiple of 5975 and 5980 = 7146100

Step 1: Find the prime factorization of 5975

5975 = 5 x 5 x 239

Step 2: Find the prime factorization of 5980

5980 = 2 x 2 x 5 x 13 x 23

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

LCM = 7146100 = 2 x 2 x 5 x 5 x 13 x 23 x 239

Step 4: Therefore, the least common multiple of 5975 and 5980 is 7146100.