Least Common Multiple of 7963 and 7968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7963 and 7968 the smallest integer that is 63449184 that is divisible by both numbers.

Least Common Multiple (LCM) of 7963 and 7968 is 63449184.

LCM(7963,7968) = 63449184

LCM of 7963 and 7968

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

LCM of:
and

Least Common Multiple of 7963 and 7968

LCM of 7963 and 7968 is 63449184

Least common multiple can be found by multiplying the highest exponent prime factors of 7963 and 7968. First we will calculate the prime factors of 7963 and 7968.

Prime Factorization of 7963


7963 7963
1

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

7963 = 79631

Prime Factorization of 7968


2 7968
2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 7968 are 2, 3,83. Prime factorization of 7968 in exponential form is:

7968 = 25×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7963 and 7968.

LCM(7963,7968) = 25×31×831×79631
LCM(7963,7968) = 63449184

Factors of 7963

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

1, 7963

Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968

Least Common Multiple of 7963 and 7968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7963 and 7968, than apply into the LCM equation.

GCF(7963,7968) = 1
LCM(7963,7968) = ( 7963 × 7968) / 1
LCM(7963,7968) = 63449184 / 1
LCM(7963,7968) = 63449184

Properties of LCM 7963 and 7968

(i) The LCM of 7968 and 7963 is associative

LCM of 7963 and 7968 = LCM of 7968 and 7963

Related Least Common Multiples of 7963

Related Least Common Multiples of 7968

Frequently Asked Questions on LCM of 7963 and 7968

1. What is the LCM of 7963 and 7968?

Answer: LCM of 7963 and 7968 is 63449184.

2. 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.

3. What are the Factors of 7968?

Answer: Factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968. There are 24 integers that are factors of 7968. The greatest factor of 7968 is 7968.

4. How to Find the LCM of 7963 and 7968?

Answer:

Least Common Multiple of 7963 and 7968 = 63449184

Step 1: Find the prime factorization of 7963

7963 = 7963

Step 2: Find the prime factorization of 7968

7968 = 2 x 2 x 2 x 2 x 2 x 3 x 83

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

LCM = 63449184 = 2 x 2 x 2 x 2 x 2 x 3 x 83 x 7963

Step 4: Therefore, the least common multiple of 7963 and 7968 is 63449184.