Least Common Multiple of 5975 and 5979

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 5979 the smallest integer that is 35724525 that is divisible by both numbers.

Least Common Multiple (LCM) of 5975 and 5979 is 35724525.

LCM(5975,5979) = 35724525

LCM of 5975 and 5979

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

LCM of:
and

Least Common Multiple of 5975 and 5979

LCM of 5975 and 5979 is 35724525

Least common multiple can be found by multiplying the highest exponent prime factors of 5975 and 5979. First we will calculate the prime factors of 5975 and 5979.

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 5979


3 5979
1993 1993
1

Prime factors of 5979 are 3,1993. Prime factorization of 5979 in exponential form is:

5979 = 31×19931

Now multiplying the highest exponent prime factors to calculate the LCM of 5975 and 5979.

LCM(5975,5979) = 31×52×2391×19931
LCM(5975,5979) = 35724525

Factors of 5975

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

1, 5, 25, 239, 1195, 5975

Factors of 5979

List of positive integer factors of 5979 that divides 5979 without a remainder.

1, 3, 1993, 5979

Least Common Multiple of 5975 and 5979 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 5979, than apply into the LCM equation.

GCF(5975,5979) = 1
LCM(5975,5979) = ( 5975 × 5979) / 1
LCM(5975,5979) = 35724525 / 1
LCM(5975,5979) = 35724525

Properties of LCM 5975 and 5979

(i) The LCM of 5979 and 5975 is associative

LCM of 5975 and 5979 = LCM of 5979 and 5975

Related Least Common Multiples of 5975

Related Least Common Multiples of 5979

Frequently Asked Questions on LCM of 5975 and 5979

1. What is the LCM of 5975 and 5979?

Answer: LCM of 5975 and 5979 is 35724525.

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 5979?

Answer: Factors of 5979 are 1, 3, 1993, 5979. There are 4 integers that are factors of 5979. The greatest factor of 5979 is 5979.

4. How to Find the LCM of 5975 and 5979?

Answer:

Least Common Multiple of 5975 and 5979 = 35724525

Step 1: Find the prime factorization of 5975

5975 = 5 x 5 x 239

Step 2: Find the prime factorization of 5979

5979 = 3 x 1993

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

LCM = 35724525 = 3 x 5 x 5 x 239 x 1993

Step 4: Therefore, the least common multiple of 5975 and 5979 is 35724525.