Least Common Multiple of 4968 and 4973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4968 and 4973 the smallest integer that is 24705864 that is divisible by both numbers.

Least Common Multiple (LCM) of 4968 and 4973 is 24705864.

LCM(4968,4973) = 24705864

LCM of 4968 and 4973

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

LCM of:
and

Least Common Multiple of 4968 and 4973

LCM of 4968 and 4973 is 24705864

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4973. First we will calculate the prime factors of 4968 and 4973.

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

Prime Factorization of 4973


4973 4973
1

Prime factors of 4973 are 4973. Prime factorization of 4973 in exponential form is:

4973 = 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 4968 and 4973.

LCM(4968,4973) = 23×33×231×49731
LCM(4968,4973) = 24705864

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

Factors of 4973

List of positive integer factors of 4973 that divides 4973 without a remainder.

1, 4973

Least Common Multiple of 4968 and 4973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4968 and 4973, than apply into the LCM equation.

GCF(4968,4973) = 1
LCM(4968,4973) = ( 4968 × 4973) / 1
LCM(4968,4973) = 24705864 / 1
LCM(4968,4973) = 24705864

Properties of LCM 4968 and 4973

(i) The LCM of 4973 and 4968 is associative

LCM of 4968 and 4973 = LCM of 4973 and 4968

Related Least Common Multiples of 4968

Related Least Common Multiples of 4973

Frequently Asked Questions on LCM of 4968 and 4973

1. What is the LCM of 4968 and 4973?

Answer: LCM of 4968 and 4973 is 24705864.

2. 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.

3. What are the Factors of 4973?

Answer: Factors of 4973 are 1, 4973. There are 2 integers that are factors of 4973. The greatest factor of 4973 is 4973.

4. How to Find the LCM of 4968 and 4973?

Answer:

Least Common Multiple of 4968 and 4973 = 24705864

Step 1: Find the prime factorization of 4968

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

Step 2: Find the prime factorization of 4973

4973 = 4973

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

LCM = 24705864 = 2 x 2 x 2 x 3 x 3 x 3 x 23 x 4973

Step 4: Therefore, the least common multiple of 4968 and 4973 is 24705864.