Least Common Multiple of 5960 and 5967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5960 and 5967 the smallest integer that is 35563320 that is divisible by both numbers.

Least Common Multiple (LCM) of 5960 and 5967 is 35563320.

LCM(5960,5967) = 35563320

LCM of 5960 and 5967

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

LCM of:
and

Least Common Multiple of 5960 and 5967

LCM of 5960 and 5967 is 35563320

Least common multiple can be found by multiplying the highest exponent prime factors of 5960 and 5967. First we will calculate the prime factors of 5960 and 5967.

Prime Factorization of 5960


2 5960
2 2980
2 1490
5 745
149 149
1

Prime factors of 5960 are 2, 5,149. Prime factorization of 5960 in exponential form is:

5960 = 23×51×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5960 and 5967.

LCM(5960,5967) = 23×33×51×131×171×1491
LCM(5960,5967) = 35563320

Factors of 5960

List of positive integer factors of 5960 that divides 5960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960

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

Least Common Multiple of 5960 and 5967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5960 and 5967, than apply into the LCM equation.

GCF(5960,5967) = 1
LCM(5960,5967) = ( 5960 × 5967) / 1
LCM(5960,5967) = 35563320 / 1
LCM(5960,5967) = 35563320

Properties of LCM 5960 and 5967

(i) The LCM of 5967 and 5960 is associative

LCM of 5960 and 5967 = LCM of 5967 and 5960

Related Least Common Multiples of 5960

Related Least Common Multiples of 5967

Frequently Asked Questions on LCM of 5960 and 5967

1. What is the LCM of 5960 and 5967?

Answer: LCM of 5960 and 5967 is 35563320.

2. What are the Factors of 5960?

Answer: Factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960. There are 16 integers that are factors of 5960. The greatest factor of 5960 is 5960.

3. 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.

4. How to Find the LCM of 5960 and 5967?

Answer:

Least Common Multiple of 5960 and 5967 = 35563320

Step 1: Find the prime factorization of 5960

5960 = 2 x 2 x 2 x 5 x 149

Step 2: Find the prime factorization of 5967

5967 = 3 x 3 x 3 x 13 x 17

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

LCM = 35563320 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 17 x 149

Step 4: Therefore, the least common multiple of 5960 and 5967 is 35563320.