Least Common Multiple of 6963 and 6969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6963 and 6969 the smallest integer that is 16175049 that is divisible by both numbers.

Least Common Multiple (LCM) of 6963 and 6969 is 16175049.

LCM(6963,6969) = 16175049

LCM of 6963 and 6969

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

LCM of:
and

Least Common Multiple of 6963 and 6969

LCM of 6963 and 6969 is 16175049

Least common multiple can be found by multiplying the highest exponent prime factors of 6963 and 6969. First we will calculate the prime factors of 6963 and 6969.

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

Prime Factorization of 6969


3 6969
23 2323
101 101
1

Prime factors of 6969 are 3, 23,101. Prime factorization of 6969 in exponential form is:

6969 = 31×231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6963 and 6969.

LCM(6963,6969) = 31×111×231×1011×2111
LCM(6963,6969) = 16175049

Factors of 6963

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

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

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1, 3, 23, 69, 101, 303, 2323, 6969

Least Common Multiple of 6963 and 6969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6963 and 6969, than apply into the LCM equation.

GCF(6963,6969) = 3
LCM(6963,6969) = ( 6963 × 6969) / 3
LCM(6963,6969) = 48525147 / 3
LCM(6963,6969) = 16175049

Properties of LCM 6963 and 6969

(i) The LCM of 6969 and 6963 is associative

LCM of 6963 and 6969 = LCM of 6969 and 6963

Related Least Common Multiples of 6963

Related Least Common Multiples of 6969

Frequently Asked Questions on LCM of 6963 and 6969

1. What is the LCM of 6963 and 6969?

Answer: LCM of 6963 and 6969 is 16175049.

2. 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.

3. What are the Factors of 6969?

Answer: Factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969. There are 8 integers that are factors of 6969. The greatest factor of 6969 is 6969.

4. How to Find the LCM of 6963 and 6969?

Answer:

Least Common Multiple of 6963 and 6969 = 16175049

Step 1: Find the prime factorization of 6963

6963 = 3 x 11 x 211

Step 2: Find the prime factorization of 6969

6969 = 3 x 23 x 101

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

LCM = 16175049 = 3 x 11 x 23 x 101 x 211

Step 4: Therefore, the least common multiple of 6963 and 6969 is 16175049.