Least Common Multiple of 7959 and 7963

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 7963 the smallest integer that is 63377517 that is divisible by both numbers.

Least Common Multiple (LCM) of 7959 and 7963 is 63377517.

LCM(7959,7963) = 63377517

LCM of 7959 and 7963

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

LCM of:
and

Least Common Multiple of 7959 and 7963

LCM of 7959 and 7963 is 63377517

Least common multiple can be found by multiplying the highest exponent prime factors of 7959 and 7963. First we will calculate the prime factors of 7959 and 7963.

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 7963


7963 7963
1

Prime factors of 7963 are 7963. Prime factorization of 7963 in exponential form is:

7963 = 79631

Now multiplying the highest exponent prime factors to calculate the LCM of 7959 and 7963.

LCM(7959,7963) = 31×71×3791×79631
LCM(7959,7963) = 63377517

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 7963

List of positive integer factors of 7963 that divides 7963 without a remainder.

1, 7963

Least Common Multiple of 7959 and 7963 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 7963, than apply into the LCM equation.

GCF(7959,7963) = 1
LCM(7959,7963) = ( 7959 × 7963) / 1
LCM(7959,7963) = 63377517 / 1
LCM(7959,7963) = 63377517

Properties of LCM 7959 and 7963

(i) The LCM of 7963 and 7959 is associative

LCM of 7959 and 7963 = LCM of 7963 and 7959

Related Least Common Multiples of 7959

Related Least Common Multiples of 7963

Frequently Asked Questions on LCM of 7959 and 7963

1. What is the LCM of 7959 and 7963?

Answer: LCM of 7959 and 7963 is 63377517.

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 7963?

Answer: Factors of 7963 are 1, 7963. There are 2 integers that are factors of 7963. The greatest factor of 7963 is 7963.

4. How to Find the LCM of 7959 and 7963?

Answer:

Least Common Multiple of 7959 and 7963 = 63377517

Step 1: Find the prime factorization of 7959

7959 = 3 x 7 x 379

Step 2: Find the prime factorization of 7963

7963 = 7963

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

LCM = 63377517 = 3 x 7 x 379 x 7963

Step 4: Therefore, the least common multiple of 7959 and 7963 is 63377517.