Least Common Multiple of 4963 and 4968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4963 and 4968 the smallest integer that is 24656184 that is divisible by both numbers.

Least Common Multiple (LCM) of 4963 and 4968 is 24656184.

LCM(4963,4968) = 24656184

LCM of 4963 and 4968

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

LCM of:
and

Least Common Multiple of 4963 and 4968

LCM of 4963 and 4968 is 24656184

Least common multiple can be found by multiplying the highest exponent prime factors of 4963 and 4968. First we will calculate the prime factors of 4963 and 4968.

Prime Factorization of 4963


7 4963
709 709
1

Prime factors of 4963 are 7,709. Prime factorization of 4963 in exponential form is:

4963 = 71×7091

Prime Factorization of 4968


2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 4968 are 2, 3,23. Prime factorization of 4968 in exponential form is:

4968 = 23×33×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4963 and 4968.

LCM(4963,4968) = 23×33×71×231×7091
LCM(4963,4968) = 24656184

Factors of 4963

List of positive integer factors of 4963 that divides 4963 without a remainder.

1, 7, 709, 4963

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968

Least Common Multiple of 4963 and 4968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4963 and 4968, than apply into the LCM equation.

GCF(4963,4968) = 1
LCM(4963,4968) = ( 4963 × 4968) / 1
LCM(4963,4968) = 24656184 / 1
LCM(4963,4968) = 24656184

Properties of LCM 4963 and 4968

(i) The LCM of 4968 and 4963 is associative

LCM of 4963 and 4968 = LCM of 4968 and 4963

Related Least Common Multiples of 4963

Related Least Common Multiples of 4968

Frequently Asked Questions on LCM of 4963 and 4968

1. What is the LCM of 4963 and 4968?

Answer: LCM of 4963 and 4968 is 24656184.

2. What are the Factors of 4963?

Answer: Factors of 4963 are 1, 7, 709, 4963. There are 4 integers that are factors of 4963. The greatest factor of 4963 is 4963.

3. What are the Factors of 4968?

Answer: Factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. There are 32 integers that are factors of 4968. The greatest factor of 4968 is 4968.

4. How to Find the LCM of 4963 and 4968?

Answer:

Least Common Multiple of 4963 and 4968 = 24656184

Step 1: Find the prime factorization of 4963

4963 = 7 x 709

Step 2: Find the prime factorization of 4968

4968 = 2 x 2 x 2 x 3 x 3 x 3 x 23

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

LCM = 24656184 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 23 x 709

Step 4: Therefore, the least common multiple of 4963 and 4968 is 24656184.