Least Common Multiple of 5971 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 5971 and 5979 the smallest integer that is 35700609 that is divisible by both numbers.

Least Common Multiple (LCM) of 5971 and 5979 is 35700609.

LCM(5971,5979) = 35700609

LCM of 5971 and 5979

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

LCM of:
and

Least Common Multiple of 5971 and 5979

LCM of 5971 and 5979 is 35700609

Least common multiple can be found by multiplying the highest exponent prime factors of 5971 and 5979. First we will calculate the prime factors of 5971 and 5979.

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 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 5971 and 5979.

LCM(5971,5979) = 31×71×8531×19931
LCM(5971,5979) = 35700609

Factors of 5971

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

1, 7, 853, 5971

Factors of 5979

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

1, 3, 1993, 5979

Least Common Multiple of 5971 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 5971 and 5979, than apply into the LCM equation.

GCF(5971,5979) = 1
LCM(5971,5979) = ( 5971 × 5979) / 1
LCM(5971,5979) = 35700609 / 1
LCM(5971,5979) = 35700609

Properties of LCM 5971 and 5979

(i) The LCM of 5979 and 5971 is associative

LCM of 5971 and 5979 = LCM of 5979 and 5971

Related Least Common Multiples of 5971

Related Least Common Multiples of 5979

Frequently Asked Questions on LCM of 5971 and 5979

1. What is the LCM of 5971 and 5979?

Answer: LCM of 5971 and 5979 is 35700609.

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 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 5971 and 5979?

Answer:

Least Common Multiple of 5971 and 5979 = 35700609

Step 1: Find the prime factorization of 5971

5971 = 7 x 853

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 = 35700609 = 3 x 7 x 853 x 1993

Step 4: Therefore, the least common multiple of 5971 and 5979 is 35700609.