Least Common Multiple of 7959 and 7966

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 7966 the smallest integer that is 9057342 that is divisible by both numbers.

Least Common Multiple (LCM) of 7959 and 7966 is 9057342.

LCM(7959,7966) = 9057342

LCM of 7959 and 7966

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

LCM of:
and

Least Common Multiple of 7959 and 7966

LCM of 7959 and 7966 is 9057342

Least common multiple can be found by multiplying the highest exponent prime factors of 7959 and 7966. First we will calculate the prime factors of 7959 and 7966.

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 7966


2 7966
7 3983
569 569
1

Prime factors of 7966 are 2, 7,569. Prime factorization of 7966 in exponential form is:

7966 = 21×71×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 7959 and 7966.

LCM(7959,7966) = 21×31×71×3791×5691
LCM(7959,7966) = 9057342

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 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1, 2, 7, 14, 569, 1138, 3983, 7966

Least Common Multiple of 7959 and 7966 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 7966, than apply into the LCM equation.

GCF(7959,7966) = 7
LCM(7959,7966) = ( 7959 × 7966) / 7
LCM(7959,7966) = 63401394 / 7
LCM(7959,7966) = 9057342

Properties of LCM 7959 and 7966

(i) The LCM of 7966 and 7959 is associative

LCM of 7959 and 7966 = LCM of 7966 and 7959

Related Least Common Multiples of 7959

Related Least Common Multiples of 7966

Frequently Asked Questions on LCM of 7959 and 7966

1. What is the LCM of 7959 and 7966?

Answer: LCM of 7959 and 7966 is 9057342.

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 7966?

Answer: Factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966. There are 8 integers that are factors of 7966. The greatest factor of 7966 is 7966.

4. How to Find the LCM of 7959 and 7966?

Answer:

Least Common Multiple of 7959 and 7966 = 9057342

Step 1: Find the prime factorization of 7959

7959 = 3 x 7 x 379

Step 2: Find the prime factorization of 7966

7966 = 2 x 7 x 569

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

LCM = 9057342 = 2 x 3 x 7 x 379 x 569

Step 4: Therefore, the least common multiple of 7959 and 7966 is 9057342.