Least Common Multiple of 7959 and 7965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7959 and 7965 the smallest integer that is 21131145 that is divisible by both numbers.

Least Common Multiple (LCM) of 7959 and 7965 is 21131145.

LCM(7959,7965) = 21131145

LCM of 7959 and 7965

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

LCM of:
and

Least Common Multiple of 7959 and 7965

LCM of 7959 and 7965 is 21131145

Least common multiple can be found by multiplying the highest exponent prime factors of 7959 and 7965. First we will calculate the prime factors of 7959 and 7965.

Prime Factorization of 7959


3 7959
7 2653
379 379
1

Prime factors of 7959 are 3, 7,379. Prime factorization of 7959 in exponential form is:

7959 = 31×71×3791

Prime Factorization of 7965


3 7965
3 2655
3 885
5 295
59 59
1

Prime factors of 7965 are 3, 5,59. Prime factorization of 7965 in exponential form is:

7965 = 33×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7959 and 7965.

LCM(7959,7965) = 33×51×71×591×3791
LCM(7959,7965) = 21131145

Factors of 7959

List of positive integer factors of 7959 that divides 7959 without a remainder.

1, 3, 7, 21, 379, 1137, 2653, 7959

Factors of 7965

List of positive integer factors of 7965 that divides 7965 without a remainder.

1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965

Least Common Multiple of 7959 and 7965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7959 and 7965, than apply into the LCM equation.

GCF(7959,7965) = 3
LCM(7959,7965) = ( 7959 × 7965) / 3
LCM(7959,7965) = 63393435 / 3
LCM(7959,7965) = 21131145

Properties of LCM 7959 and 7965

(i) The LCM of 7965 and 7959 is associative

LCM of 7959 and 7965 = LCM of 7965 and 7959

Related Least Common Multiples of 7959

Related Least Common Multiples of 7965

Frequently Asked Questions on LCM of 7959 and 7965

1. What is the LCM of 7959 and 7965?

Answer: LCM of 7959 and 7965 is 21131145.

2. What are the Factors of 7959?

Answer: Factors of 7959 are 1, 3, 7, 21, 379, 1137, 2653, 7959. There are 8 integers that are factors of 7959. The greatest factor of 7959 is 7959.

3. What are the Factors of 7965?

Answer: Factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965. There are 16 integers that are factors of 7965. The greatest factor of 7965 is 7965.

4. How to Find the LCM of 7959 and 7965?

Answer:

Least Common Multiple of 7959 and 7965 = 21131145

Step 1: Find the prime factorization of 7959

7959 = 3 x 7 x 379

Step 2: Find the prime factorization of 7965

7965 = 3 x 3 x 3 x 5 x 59

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

LCM = 21131145 = 3 x 3 x 3 x 5 x 7 x 59 x 379

Step 4: Therefore, the least common multiple of 7959 and 7965 is 21131145.