Least Common Multiple of 5975 and 5982

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 5982 the smallest integer that is 35742450 that is divisible by both numbers.

Least Common Multiple (LCM) of 5975 and 5982 is 35742450.

LCM(5975,5982) = 35742450

LCM of 5975 and 5982

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

LCM of:
and

Least Common Multiple of 5975 and 5982

LCM of 5975 and 5982 is 35742450

Least common multiple can be found by multiplying the highest exponent prime factors of 5975 and 5982. First we will calculate the prime factors of 5975 and 5982.

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 5982


2 5982
3 2991
997 997
1

Prime factors of 5982 are 2, 3,997. Prime factorization of 5982 in exponential form is:

5982 = 21×31×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 5975 and 5982.

LCM(5975,5982) = 21×31×52×2391×9971
LCM(5975,5982) = 35742450

Factors of 5975

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

1, 5, 25, 239, 1195, 5975

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1, 2, 3, 6, 997, 1994, 2991, 5982

Least Common Multiple of 5975 and 5982 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 5982, than apply into the LCM equation.

GCF(5975,5982) = 1
LCM(5975,5982) = ( 5975 × 5982) / 1
LCM(5975,5982) = 35742450 / 1
LCM(5975,5982) = 35742450

Properties of LCM 5975 and 5982

(i) The LCM of 5982 and 5975 is associative

LCM of 5975 and 5982 = LCM of 5982 and 5975

Related Least Common Multiples of 5975

Related Least Common Multiples of 5982

Frequently Asked Questions on LCM of 5975 and 5982

1. What is the LCM of 5975 and 5982?

Answer: LCM of 5975 and 5982 is 35742450.

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 5982?

Answer: Factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. There are 8 integers that are factors of 5982. The greatest factor of 5982 is 5982.

4. How to Find the LCM of 5975 and 5982?

Answer:

Least Common Multiple of 5975 and 5982 = 35742450

Step 1: Find the prime factorization of 5975

5975 = 5 x 5 x 239

Step 2: Find the prime factorization of 5982

5982 = 2 x 3 x 997

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

LCM = 35742450 = 2 x 3 x 5 x 5 x 239 x 997

Step 4: Therefore, the least common multiple of 5975 and 5982 is 35742450.