Least Common Multiple of 5977 and 5982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5977 and 5982 the smallest integer that is 35754414 that is divisible by both numbers.

Least Common Multiple (LCM) of 5977 and 5982 is 35754414.

LCM(5977,5982) = 35754414

LCM of 5977 and 5982

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

LCM of:
and

Least Common Multiple of 5977 and 5982

LCM of 5977 and 5982 is 35754414

Least common multiple can be found by multiplying the highest exponent prime factors of 5977 and 5982. First we will calculate the prime factors of 5977 and 5982.

Prime Factorization of 5977


43 5977
139 139
1

Prime factors of 5977 are 43,139. Prime factorization of 5977 in exponential form is:

5977 = 431×1391

Prime Factorization of 5982


2 5982
3 2991
997 997
1

Prime factors of 5982 are 2, 3,997. Prime factorization of 5982 in exponential form is:

5982 = 21×31×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 5977 and 5982.

LCM(5977,5982) = 21×31×431×1391×9971
LCM(5977,5982) = 35754414

Factors of 5977

List of positive integer factors of 5977 that divides 5977 without a remainder.

1, 43, 139, 5977

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1, 2, 3, 6, 997, 1994, 2991, 5982

Least Common Multiple of 5977 and 5982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5977 and 5982, than apply into the LCM equation.

GCF(5977,5982) = 1
LCM(5977,5982) = ( 5977 × 5982) / 1
LCM(5977,5982) = 35754414 / 1
LCM(5977,5982) = 35754414

Properties of LCM 5977 and 5982

(i) The LCM of 5982 and 5977 is associative

LCM of 5977 and 5982 = LCM of 5982 and 5977

Related Least Common Multiples of 5977

Related Least Common Multiples of 5982

Frequently Asked Questions on LCM of 5977 and 5982

1. What is the LCM of 5977 and 5982?

Answer: LCM of 5977 and 5982 is 35754414.

2. What are the Factors of 5977?

Answer: Factors of 5977 are 1, 43, 139, 5977. There are 4 integers that are factors of 5977. The greatest factor of 5977 is 5977.

3. What are the Factors of 5982?

Answer: Factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. There are 8 integers that are factors of 5982. The greatest factor of 5982 is 5982.

4. How to Find the LCM of 5977 and 5982?

Answer:

Least Common Multiple of 5977 and 5982 = 35754414

Step 1: Find the prime factorization of 5977

5977 = 43 x 139

Step 2: Find the prime factorization of 5982

5982 = 2 x 3 x 997

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

LCM = 35754414 = 2 x 3 x 43 x 139 x 997

Step 4: Therefore, the least common multiple of 5977 and 5982 is 35754414.