Least Common Multiple of 4964 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 4964 and 4968 the smallest integer that is 6165288 that is divisible by both numbers.

Least Common Multiple (LCM) of 4964 and 4968 is 6165288.

LCM(4964,4968) = 6165288

LCM of 4964 and 4968

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

LCM of:
and

Least Common Multiple of 4964 and 4968

LCM of 4964 and 4968 is 6165288

Least common multiple can be found by multiplying the highest exponent prime factors of 4964 and 4968. First we will calculate the prime factors of 4964 and 4968.

Prime Factorization of 4964


2 4964
2 2482
17 1241
73 73
1

Prime factors of 4964 are 2, 17,73. Prime factorization of 4964 in exponential form is:

4964 = 22×171×731

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 4964 and 4968.

LCM(4964,4968) = 23×33×171×231×731
LCM(4964,4968) = 6165288

Factors of 4964

List of positive integer factors of 4964 that divides 4964 without a remainder.

1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964

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 4964 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 4964 and 4968, than apply into the LCM equation.

GCF(4964,4968) = 4
LCM(4964,4968) = ( 4964 × 4968) / 4
LCM(4964,4968) = 24661152 / 4
LCM(4964,4968) = 6165288

Properties of LCM 4964 and 4968

(i) The LCM of 4968 and 4964 is associative

LCM of 4964 and 4968 = LCM of 4968 and 4964

Related Least Common Multiples of 4964

Related Least Common Multiples of 4968

Frequently Asked Questions on LCM of 4964 and 4968

1. What is the LCM of 4964 and 4968?

Answer: LCM of 4964 and 4968 is 6165288.

2. What are the Factors of 4964?

Answer: Factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964. There are 12 integers that are factors of 4964. The greatest factor of 4964 is 4964.

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 4964 and 4968?

Answer:

Least Common Multiple of 4964 and 4968 = 6165288

Step 1: Find the prime factorization of 4964

4964 = 2 x 2 x 17 x 73

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 = 6165288 = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 23 x 73

Step 4: Therefore, the least common multiple of 4964 and 4968 is 6165288.