Least Common Multiple of 5979 and 5987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5979 and 5987 the smallest integer that is 35796273 that is divisible by both numbers.

Least Common Multiple (LCM) of 5979 and 5987 is 35796273.

LCM(5979,5987) = 35796273

LCM of 5979 and 5987

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

LCM of:
and

Least Common Multiple of 5979 and 5987

LCM of 5979 and 5987 is 35796273

Least common multiple can be found by multiplying the highest exponent prime factors of 5979 and 5987. First we will calculate the prime factors of 5979 and 5987.

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

Prime Factorization of 5987


5987 5987
1

Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:

5987 = 59871

Now multiplying the highest exponent prime factors to calculate the LCM of 5979 and 5987.

LCM(5979,5987) = 31×19931×59871
LCM(5979,5987) = 35796273

Factors of 5979

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

1, 3, 1993, 5979

Factors of 5987

List of positive integer factors of 5987 that divides 5987 without a remainder.

1, 5987

Least Common Multiple of 5979 and 5987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5979 and 5987, than apply into the LCM equation.

GCF(5979,5987) = 1
LCM(5979,5987) = ( 5979 × 5987) / 1
LCM(5979,5987) = 35796273 / 1
LCM(5979,5987) = 35796273

Properties of LCM 5979 and 5987

(i) The LCM of 5987 and 5979 is associative

LCM of 5979 and 5987 = LCM of 5987 and 5979

Related Least Common Multiples of 5979

Related Least Common Multiples of 5987

Frequently Asked Questions on LCM of 5979 and 5987

1. What is the LCM of 5979 and 5987?

Answer: LCM of 5979 and 5987 is 35796273.

2. 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.

3. What are the Factors of 5987?

Answer: Factors of 5987 are 1, 5987. There are 2 integers that are factors of 5987. The greatest factor of 5987 is 5987.

4. How to Find the LCM of 5979 and 5987?

Answer:

Least Common Multiple of 5979 and 5987 = 35796273

Step 1: Find the prime factorization of 5979

5979 = 3 x 1993

Step 2: Find the prime factorization of 5987

5987 = 5987

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

LCM = 35796273 = 3 x 1993 x 5987

Step 4: Therefore, the least common multiple of 5979 and 5987 is 35796273.