Least Common Multiple of 5967 and 5973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5967 and 5973 the smallest integer that is 11880297 that is divisible by both numbers.

Least Common Multiple (LCM) of 5967 and 5973 is 11880297.

LCM(5967,5973) = 11880297

LCM of 5967 and 5973

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

LCM of:
and

Least Common Multiple of 5967 and 5973

LCM of 5967 and 5973 is 11880297

Least common multiple can be found by multiplying the highest exponent prime factors of 5967 and 5973. First we will calculate the prime factors of 5967 and 5973.

Prime Factorization of 5967


3 5967
3 1989
3 663
13 221
17 17
1

Prime factors of 5967 are 3, 13,17. Prime factorization of 5967 in exponential form is:

5967 = 33×131×171

Prime Factorization of 5973


3 5973
11 1991
181 181
1

Prime factors of 5973 are 3, 11,181. Prime factorization of 5973 in exponential form is:

5973 = 31×111×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 5967 and 5973.

LCM(5967,5973) = 33×111×131×171×1811
LCM(5967,5973) = 11880297

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1, 3, 11, 33, 181, 543, 1991, 5973

Least Common Multiple of 5967 and 5973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5967 and 5973, than apply into the LCM equation.

GCF(5967,5973) = 3
LCM(5967,5973) = ( 5967 × 5973) / 3
LCM(5967,5973) = 35640891 / 3
LCM(5967,5973) = 11880297

Properties of LCM 5967 and 5973

(i) The LCM of 5973 and 5967 is associative

LCM of 5967 and 5973 = LCM of 5973 and 5967

Related Least Common Multiples of 5967

Related Least Common Multiples of 5973

Frequently Asked Questions on LCM of 5967 and 5973

1. What is the LCM of 5967 and 5973?

Answer: LCM of 5967 and 5973 is 11880297.

2. What are the Factors of 5967?

Answer: Factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. There are 16 integers that are factors of 5967. The greatest factor of 5967 is 5967.

3. What are the Factors of 5973?

Answer: Factors of 5973 are 1, 3, 11, 33, 181, 543, 1991, 5973. There are 8 integers that are factors of 5973. The greatest factor of 5973 is 5973.

4. How to Find the LCM of 5967 and 5973?

Answer:

Least Common Multiple of 5967 and 5973 = 11880297

Step 1: Find the prime factorization of 5967

5967 = 3 x 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 5973

5973 = 3 x 11 x 181

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

LCM = 11880297 = 3 x 3 x 3 x 11 x 13 x 17 x 181

Step 4: Therefore, the least common multiple of 5967 and 5973 is 11880297.