Least Common Multiple of 4966 and 4970

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 4970 the smallest integer that is 12340510 that is divisible by both numbers.

Least Common Multiple (LCM) of 4966 and 4970 is 12340510.

LCM(4966,4970) = 12340510

LCM of 4966 and 4970

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

LCM of:
and

Least Common Multiple of 4966 and 4970

LCM of 4966 and 4970 is 12340510

Least common multiple can be found by multiplying the highest exponent prime factors of 4966 and 4970. First we will calculate the prime factors of 4966 and 4970.

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 4970


2 4970
5 2485
7 497
71 71
1

Prime factors of 4970 are 2, 5, 7,71. Prime factorization of 4970 in exponential form is:

4970 = 21×51×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4966 and 4970.

LCM(4966,4970) = 21×51×71×131×711×1911
LCM(4966,4970) = 12340510

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 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970

Least Common Multiple of 4966 and 4970 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 4970, than apply into the LCM equation.

GCF(4966,4970) = 2
LCM(4966,4970) = ( 4966 × 4970) / 2
LCM(4966,4970) = 24681020 / 2
LCM(4966,4970) = 12340510

Properties of LCM 4966 and 4970

(i) The LCM of 4970 and 4966 is associative

LCM of 4966 and 4970 = LCM of 4970 and 4966

Related Least Common Multiples of 4966

Related Least Common Multiples of 4970

Frequently Asked Questions on LCM of 4966 and 4970

1. What is the LCM of 4966 and 4970?

Answer: LCM of 4966 and 4970 is 12340510.

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 4970?

Answer: Factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970. There are 16 integers that are factors of 4970. The greatest factor of 4970 is 4970.

4. How to Find the LCM of 4966 and 4970?

Answer:

Least Common Multiple of 4966 and 4970 = 12340510

Step 1: Find the prime factorization of 4966

4966 = 2 x 13 x 191

Step 2: Find the prime factorization of 4970

4970 = 2 x 5 x 7 x 71

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

LCM = 12340510 = 2 x 5 x 7 x 13 x 71 x 191

Step 4: Therefore, the least common multiple of 4966 and 4970 is 12340510.