Least Common Multiple of 5978 and 5986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5978 and 5986 the smallest integer that is 17892154 that is divisible by both numbers.

Least Common Multiple (LCM) of 5978 and 5986 is 17892154.

LCM(5978,5986) = 17892154

LCM of 5978 and 5986

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

LCM of:
and

Least Common Multiple of 5978 and 5986

LCM of 5978 and 5986 is 17892154

Least common multiple can be found by multiplying the highest exponent prime factors of 5978 and 5986. First we will calculate the prime factors of 5978 and 5986.

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

Prime Factorization of 5986


2 5986
41 2993
73 73
1

Prime factors of 5986 are 2, 41,73. Prime factorization of 5986 in exponential form is:

5986 = 21×411×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5978 and 5986.

LCM(5978,5986) = 21×72×411×611×731
LCM(5978,5986) = 17892154

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

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1, 2, 41, 73, 82, 146, 2993, 5986

Least Common Multiple of 5978 and 5986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5978 and 5986, than apply into the LCM equation.

GCF(5978,5986) = 2
LCM(5978,5986) = ( 5978 × 5986) / 2
LCM(5978,5986) = 35784308 / 2
LCM(5978,5986) = 17892154

Properties of LCM 5978 and 5986

(i) The LCM of 5986 and 5978 is associative

LCM of 5978 and 5986 = LCM of 5986 and 5978

Related Least Common Multiples of 5978

Related Least Common Multiples of 5986

Frequently Asked Questions on LCM of 5978 and 5986

1. What is the LCM of 5978 and 5986?

Answer: LCM of 5978 and 5986 is 17892154.

2. 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.

3. What are the Factors of 5986?

Answer: Factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986. There are 8 integers that are factors of 5986. The greatest factor of 5986 is 5986.

4. How to Find the LCM of 5978 and 5986?

Answer:

Least Common Multiple of 5978 and 5986 = 17892154

Step 1: Find the prime factorization of 5978

5978 = 2 x 7 x 7 x 61

Step 2: Find the prime factorization of 5986

5986 = 2 x 41 x 73

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

LCM = 17892154 = 2 x 7 x 7 x 41 x 61 x 73

Step 4: Therefore, the least common multiple of 5978 and 5986 is 17892154.