Least Common Multiple of 7956 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 7956 and 7963 the smallest integer that is 63353628 that is divisible by both numbers.

Least Common Multiple (LCM) of 7956 and 7963 is 63353628.

LCM(7956,7963) = 63353628

LCM of 7956 and 7963

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

LCM of:
and

Least Common Multiple of 7956 and 7963

LCM of 7956 and 7963 is 63353628

Least common multiple can be found by multiplying the highest exponent prime factors of 7956 and 7963. First we will calculate the prime factors of 7956 and 7963.

Prime Factorization of 7956


2 7956
2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 7956 are 2, 3, 13,17. Prime factorization of 7956 in exponential form is:

7956 = 22×32×131×171

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 7956 and 7963.

LCM(7956,7963) = 22×32×131×171×79631
LCM(7956,7963) = 63353628

Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956

Factors of 7963

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

1, 7963

Least Common Multiple of 7956 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 7956 and 7963, than apply into the LCM equation.

GCF(7956,7963) = 1
LCM(7956,7963) = ( 7956 × 7963) / 1
LCM(7956,7963) = 63353628 / 1
LCM(7956,7963) = 63353628

Properties of LCM 7956 and 7963

(i) The LCM of 7963 and 7956 is associative

LCM of 7956 and 7963 = LCM of 7963 and 7956

Related Least Common Multiples of 7956

Related Least Common Multiples of 7963

Frequently Asked Questions on LCM of 7956 and 7963

1. What is the LCM of 7956 and 7963?

Answer: LCM of 7956 and 7963 is 63353628.

2. What are the Factors of 7956?

Answer: Factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956. There are 36 integers that are factors of 7956. The greatest factor of 7956 is 7956.

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 7956 and 7963?

Answer:

Least Common Multiple of 7956 and 7963 = 63353628

Step 1: Find the prime factorization of 7956

7956 = 2 x 2 x 3 x 3 x 13 x 17

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 = 63353628 = 2 x 2 x 3 x 3 x 13 x 17 x 7963

Step 4: Therefore, the least common multiple of 7956 and 7963 is 63353628.