Least Common Multiple of 4964 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 4964 and 4970 the smallest integer that is 12335540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4964 and 4970 is 12335540.

LCM(4964,4970) = 12335540

LCM of 4964 and 4970

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

LCM of:
and

Least Common Multiple of 4964 and 4970

LCM of 4964 and 4970 is 12335540

Least common multiple can be found by multiplying the highest exponent prime factors of 4964 and 4970. First we will calculate the prime factors of 4964 and 4970.

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 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 4964 and 4970.

LCM(4964,4970) = 22×51×71×171×711×731
LCM(4964,4970) = 12335540

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 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 4964 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 4964 and 4970, than apply into the LCM equation.

GCF(4964,4970) = 2
LCM(4964,4970) = ( 4964 × 4970) / 2
LCM(4964,4970) = 24671080 / 2
LCM(4964,4970) = 12335540

Properties of LCM 4964 and 4970

(i) The LCM of 4970 and 4964 is associative

LCM of 4964 and 4970 = LCM of 4970 and 4964

Related Least Common Multiples of 4964

Related Least Common Multiples of 4970

Frequently Asked Questions on LCM of 4964 and 4970

1. What is the LCM of 4964 and 4970?

Answer: LCM of 4964 and 4970 is 12335540.

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 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 4964 and 4970?

Answer:

Least Common Multiple of 4964 and 4970 = 12335540

Step 1: Find the prime factorization of 4964

4964 = 2 x 2 x 17 x 73

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 = 12335540 = 2 x 2 x 5 x 7 x 17 x 71 x 73

Step 4: Therefore, the least common multiple of 4964 and 4970 is 12335540.