Least Common Multiple of 4966 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 4966 and 4968 the smallest integer that is 12335544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4966 and 4968 is 12335544.

LCM(4966,4968) = 12335544

LCM of 4966 and 4968

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

LCM of:
and

Least Common Multiple of 4966 and 4968

LCM of 4966 and 4968 is 12335544

Least common multiple can be found by multiplying the highest exponent prime factors of 4966 and 4968. First we will calculate the prime factors of 4966 and 4968.

Prime Factorization of 4966


2 4966
13 2483
191 191
1

Prime factors of 4966 are 2, 13,191. Prime factorization of 4966 in exponential form is:

4966 = 21×131×1911

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 4966 and 4968.

LCM(4966,4968) = 23×33×131×231×1911
LCM(4966,4968) = 12335544

Factors of 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1, 2, 13, 26, 191, 382, 2483, 4966

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 4966 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 4966 and 4968, than apply into the LCM equation.

GCF(4966,4968) = 2
LCM(4966,4968) = ( 4966 × 4968) / 2
LCM(4966,4968) = 24671088 / 2
LCM(4966,4968) = 12335544

Properties of LCM 4966 and 4968

(i) The LCM of 4968 and 4966 is associative

LCM of 4966 and 4968 = LCM of 4968 and 4966

Related Least Common Multiples of 4966

Related Least Common Multiples of 4968

Frequently Asked Questions on LCM of 4966 and 4968

1. What is the LCM of 4966 and 4968?

Answer: LCM of 4966 and 4968 is 12335544.

2. What are the Factors of 4966?

Answer: Factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966. There are 8 integers that are factors of 4966. The greatest factor of 4966 is 4966.

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 4966 and 4968?

Answer:

Least Common Multiple of 4966 and 4968 = 12335544

Step 1: Find the prime factorization of 4966

4966 = 2 x 13 x 191

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 = 12335544 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 23 x 191

Step 4: Therefore, the least common multiple of 4966 and 4968 is 12335544.