Least Common Multiple of 6960 and 6967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6960 and 6967 the smallest integer that is 48490320 that is divisible by both numbers.

Least Common Multiple (LCM) of 6960 and 6967 is 48490320.

LCM(6960,6967) = 48490320

LCM of 6960 and 6967

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

LCM of:
and

Least Common Multiple of 6960 and 6967

LCM of 6960 and 6967 is 48490320

Least common multiple can be found by multiplying the highest exponent prime factors of 6960 and 6967. First we will calculate the prime factors of 6960 and 6967.

Prime Factorization of 6960


2 6960
2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 6960 are 2, 3, 5,29. Prime factorization of 6960 in exponential form is:

6960 = 24×31×51×291

Prime Factorization of 6967


6967 6967
1

Prime factors of 6967 are 6967. Prime factorization of 6967 in exponential form is:

6967 = 69671

Now multiplying the highest exponent prime factors to calculate the LCM of 6960 and 6967.

LCM(6960,6967) = 24×31×51×291×69671
LCM(6960,6967) = 48490320

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960

Factors of 6967

List of positive integer factors of 6967 that divides 6967 without a remainder.

1, 6967

Least Common Multiple of 6960 and 6967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6960 and 6967, than apply into the LCM equation.

GCF(6960,6967) = 1
LCM(6960,6967) = ( 6960 × 6967) / 1
LCM(6960,6967) = 48490320 / 1
LCM(6960,6967) = 48490320

Properties of LCM 6960 and 6967

(i) The LCM of 6967 and 6960 is associative

LCM of 6960 and 6967 = LCM of 6967 and 6960

Related Least Common Multiples of 6960

Related Least Common Multiples of 6967

Frequently Asked Questions on LCM of 6960 and 6967

1. What is the LCM of 6960 and 6967?

Answer: LCM of 6960 and 6967 is 48490320.

2. What are the Factors of 6960?

Answer: Factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. There are 40 integers that are factors of 6960. The greatest factor of 6960 is 6960.

3. What are the Factors of 6967?

Answer: Factors of 6967 are 1, 6967. There are 2 integers that are factors of 6967. The greatest factor of 6967 is 6967.

4. How to Find the LCM of 6960 and 6967?

Answer:

Least Common Multiple of 6960 and 6967 = 48490320

Step 1: Find the prime factorization of 6960

6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 6967

6967 = 6967

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

LCM = 48490320 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 6967

Step 4: Therefore, the least common multiple of 6960 and 6967 is 48490320.