Least Common Multiple of 5977 and 5981

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 5981 the smallest integer that is 35748437 that is divisible by both numbers.

Least Common Multiple (LCM) of 5977 and 5981 is 35748437.

LCM(5977,5981) = 35748437

LCM of 5977 and 5981

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

LCM of:
and

Least Common Multiple of 5977 and 5981

LCM of 5977 and 5981 is 35748437

Least common multiple can be found by multiplying the highest exponent prime factors of 5977 and 5981. First we will calculate the prime factors of 5977 and 5981.

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 5981


5981 5981
1

Prime factors of 5981 are 5981. Prime factorization of 5981 in exponential form is:

5981 = 59811

Now multiplying the highest exponent prime factors to calculate the LCM of 5977 and 5981.

LCM(5977,5981) = 431×1391×59811
LCM(5977,5981) = 35748437

Factors of 5977

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

1, 43, 139, 5977

Factors of 5981

List of positive integer factors of 5981 that divides 5981 without a remainder.

1, 5981

Least Common Multiple of 5977 and 5981 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 5981, than apply into the LCM equation.

GCF(5977,5981) = 1
LCM(5977,5981) = ( 5977 × 5981) / 1
LCM(5977,5981) = 35748437 / 1
LCM(5977,5981) = 35748437

Properties of LCM 5977 and 5981

(i) The LCM of 5981 and 5977 is associative

LCM of 5977 and 5981 = LCM of 5981 and 5977

Related Least Common Multiples of 5977

Related Least Common Multiples of 5981

Frequently Asked Questions on LCM of 5977 and 5981

1. What is the LCM of 5977 and 5981?

Answer: LCM of 5977 and 5981 is 35748437.

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 5981?

Answer: Factors of 5981 are 1, 5981. There are 2 integers that are factors of 5981. The greatest factor of 5981 is 5981.

4. How to Find the LCM of 5977 and 5981?

Answer:

Least Common Multiple of 5977 and 5981 = 35748437

Step 1: Find the prime factorization of 5977

5977 = 43 x 139

Step 2: Find the prime factorization of 5981

5981 = 5981

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

LCM = 35748437 = 43 x 139 x 5981

Step 4: Therefore, the least common multiple of 5977 and 5981 is 35748437.