Least Common Multiple of 5971 and 5978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5971 and 5978 the smallest integer that is 5099234 that is divisible by both numbers.

Least Common Multiple (LCM) of 5971 and 5978 is 5099234.

LCM(5971,5978) = 5099234

LCM of 5971 and 5978

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

LCM of:
and

Least Common Multiple of 5971 and 5978

LCM of 5971 and 5978 is 5099234

Least common multiple can be found by multiplying the highest exponent prime factors of 5971 and 5978. First we will calculate the prime factors of 5971 and 5978.

Prime Factorization of 5971


7 5971
853 853
1

Prime factors of 5971 are 7,853. Prime factorization of 5971 in exponential form is:

5971 = 71×8531

Prime Factorization of 5978


2 5978
7 2989
7 427
61 61
1

Prime factors of 5978 are 2, 7,61. Prime factorization of 5978 in exponential form is:

5978 = 21×72×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5971 and 5978.

LCM(5971,5978) = 21×72×611×8531
LCM(5971,5978) = 5099234

Factors of 5971

List of positive integer factors of 5971 that divides 5971 without a remainder.

1, 7, 853, 5971

Factors of 5978

List of positive integer factors of 5978 that divides 5978 without a remainder.

1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978

Least Common Multiple of 5971 and 5978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5971 and 5978, than apply into the LCM equation.

GCF(5971,5978) = 7
LCM(5971,5978) = ( 5971 × 5978) / 7
LCM(5971,5978) = 35694638 / 7
LCM(5971,5978) = 5099234

Properties of LCM 5971 and 5978

(i) The LCM of 5978 and 5971 is associative

LCM of 5971 and 5978 = LCM of 5978 and 5971

Related Least Common Multiples of 5971

Related Least Common Multiples of 5978

Frequently Asked Questions on LCM of 5971 and 5978

1. What is the LCM of 5971 and 5978?

Answer: LCM of 5971 and 5978 is 5099234.

2. What are the Factors of 5971?

Answer: Factors of 5971 are 1, 7, 853, 5971. There are 4 integers that are factors of 5971. The greatest factor of 5971 is 5971.

3. What are the Factors of 5978?

Answer: Factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978. There are 12 integers that are factors of 5978. The greatest factor of 5978 is 5978.

4. How to Find the LCM of 5971 and 5978?

Answer:

Least Common Multiple of 5971 and 5978 = 5099234

Step 1: Find the prime factorization of 5971

5971 = 7 x 853

Step 2: Find the prime factorization of 5978

5978 = 2 x 7 x 7 x 61

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

LCM = 5099234 = 2 x 7 x 7 x 61 x 853

Step 4: Therefore, the least common multiple of 5971 and 5978 is 5099234.