Least Common Multiple of 5967 and 5972

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 5972 the smallest integer that is 35634924 that is divisible by both numbers.

Least Common Multiple (LCM) of 5967 and 5972 is 35634924.

LCM(5967,5972) = 35634924

LCM of 5967 and 5972

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

LCM of:
and

Least Common Multiple of 5967 and 5972

LCM of 5967 and 5972 is 35634924

Least common multiple can be found by multiplying the highest exponent prime factors of 5967 and 5972. First we will calculate the prime factors of 5967 and 5972.

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 5972


2 5972
2 2986
1493 1493
1

Prime factors of 5972 are 2,1493. Prime factorization of 5972 in exponential form is:

5972 = 22×14931

Now multiplying the highest exponent prime factors to calculate the LCM of 5967 and 5972.

LCM(5967,5972) = 22×33×131×171×14931
LCM(5967,5972) = 35634924

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 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1, 2, 4, 1493, 2986, 5972

Least Common Multiple of 5967 and 5972 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 5972, than apply into the LCM equation.

GCF(5967,5972) = 1
LCM(5967,5972) = ( 5967 × 5972) / 1
LCM(5967,5972) = 35634924 / 1
LCM(5967,5972) = 35634924

Properties of LCM 5967 and 5972

(i) The LCM of 5972 and 5967 is associative

LCM of 5967 and 5972 = LCM of 5972 and 5967

Related Least Common Multiples of 5967

Related Least Common Multiples of 5972

Frequently Asked Questions on LCM of 5967 and 5972

1. What is the LCM of 5967 and 5972?

Answer: LCM of 5967 and 5972 is 35634924.

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 5972?

Answer: Factors of 5972 are 1, 2, 4, 1493, 2986, 5972. There are 6 integers that are factors of 5972. The greatest factor of 5972 is 5972.

4. How to Find the LCM of 5967 and 5972?

Answer:

Least Common Multiple of 5967 and 5972 = 35634924

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 5972

5972 = 2 x 2 x 1493

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

LCM = 35634924 = 2 x 2 x 3 x 3 x 3 x 13 x 17 x 1493

Step 4: Therefore, the least common multiple of 5967 and 5972 is 35634924.