Least Common Multiple of 3963 and 3969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3963 and 3969 the smallest integer that is 5243049 that is divisible by both numbers.

Least Common Multiple (LCM) of 3963 and 3969 is 5243049.

LCM(3963,3969) = 5243049

LCM of 3963 and 3969

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

LCM of:
and

Least Common Multiple of 3963 and 3969

LCM of 3963 and 3969 is 5243049

Least common multiple can be found by multiplying the highest exponent prime factors of 3963 and 3969. First we will calculate the prime factors of 3963 and 3969.

Prime Factorization of 3963


3 3963
1321 1321
1

Prime factors of 3963 are 3,1321. Prime factorization of 3963 in exponential form is:

3963 = 31×13211

Prime Factorization of 3969


3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 3969 are 3,7. Prime factorization of 3969 in exponential form is:

3969 = 34×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3963 and 3969.

LCM(3963,3969) = 34×72×13211
LCM(3963,3969) = 5243049

Factors of 3963

List of positive integer factors of 3963 that divides 3963 without a remainder.

1, 3, 1321, 3963

Factors of 3969

List of positive integer factors of 3969 that divides 3969 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969

Least Common Multiple of 3963 and 3969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3963 and 3969, than apply into the LCM equation.

GCF(3963,3969) = 3
LCM(3963,3969) = ( 3963 × 3969) / 3
LCM(3963,3969) = 15729147 / 3
LCM(3963,3969) = 5243049

Properties of LCM 3963 and 3969

(i) The LCM of 3969 and 3963 is associative

LCM of 3963 and 3969 = LCM of 3969 and 3963

Related Least Common Multiples of 3963

Related Least Common Multiples of 3969

Frequently Asked Questions on LCM of 3963 and 3969

1. What is the LCM of 3963 and 3969?

Answer: LCM of 3963 and 3969 is 5243049.

2. What are the Factors of 3963?

Answer: Factors of 3963 are 1, 3, 1321, 3963. There are 4 integers that are factors of 3963. The greatest factor of 3963 is 3963.

3. What are the Factors of 3969?

Answer: Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. There are 15 integers that are factors of 3969. The greatest factor of 3969 is 3969.

4. How to Find the LCM of 3963 and 3969?

Answer:

Least Common Multiple of 3963 and 3969 = 5243049

Step 1: Find the prime factorization of 3963

3963 = 3 x 1321

Step 2: Find the prime factorization of 3969

3969 = 3 x 3 x 3 x 3 x 7 x 7

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

LCM = 5243049 = 3 x 3 x 3 x 3 x 7 x 7 x 1321

Step 4: Therefore, the least common multiple of 3963 and 3969 is 5243049.