Least Common Multiple of 6959 and 6963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6959 and 6963 the smallest integer that is 48455517 that is divisible by both numbers.

Least Common Multiple (LCM) of 6959 and 6963 is 48455517.

LCM(6959,6963) = 48455517

LCM of 6959 and 6963

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

LCM of:
and

Least Common Multiple of 6959 and 6963

LCM of 6959 and 6963 is 48455517

Least common multiple can be found by multiplying the highest exponent prime factors of 6959 and 6963. First we will calculate the prime factors of 6959 and 6963.

Prime Factorization of 6959


6959 6959
1

Prime factors of 6959 are 6959. Prime factorization of 6959 in exponential form is:

6959 = 69591

Prime Factorization of 6963


3 6963
11 2321
211 211
1

Prime factors of 6963 are 3, 11,211. Prime factorization of 6963 in exponential form is:

6963 = 31×111×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 6959 and 6963.

LCM(6959,6963) = 31×111×2111×69591
LCM(6959,6963) = 48455517

Factors of 6959

List of positive integer factors of 6959 that divides 6959 without a remainder.

1, 6959

Factors of 6963

List of positive integer factors of 6963 that divides 6963 without a remainder.

1, 3, 11, 33, 211, 633, 2321, 6963

Least Common Multiple of 6959 and 6963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6959 and 6963, than apply into the LCM equation.

GCF(6959,6963) = 1
LCM(6959,6963) = ( 6959 × 6963) / 1
LCM(6959,6963) = 48455517 / 1
LCM(6959,6963) = 48455517

Properties of LCM 6959 and 6963

(i) The LCM of 6963 and 6959 is associative

LCM of 6959 and 6963 = LCM of 6963 and 6959

Related Least Common Multiples of 6959

Related Least Common Multiples of 6963

Frequently Asked Questions on LCM of 6959 and 6963

1. What is the LCM of 6959 and 6963?

Answer: LCM of 6959 and 6963 is 48455517.

2. What are the Factors of 6959?

Answer: Factors of 6959 are 1, 6959. There are 2 integers that are factors of 6959. The greatest factor of 6959 is 6959.

3. What are the Factors of 6963?

Answer: Factors of 6963 are 1, 3, 11, 33, 211, 633, 2321, 6963. There are 8 integers that are factors of 6963. The greatest factor of 6963 is 6963.

4. How to Find the LCM of 6959 and 6963?

Answer:

Least Common Multiple of 6959 and 6963 = 48455517

Step 1: Find the prime factorization of 6959

6959 = 6959

Step 2: Find the prime factorization of 6963

6963 = 3 x 11 x 211

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

LCM = 48455517 = 3 x 11 x 211 x 6959

Step 4: Therefore, the least common multiple of 6959 and 6963 is 48455517.