Least Common Multiple of 4613 and 4620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4613 and 4620 the smallest integer that is 3044580 that is divisible by both numbers.

Least Common Multiple (LCM) of 4613 and 4620 is 3044580.

LCM(4613,4620) = 3044580

LCM of 4613 and 4620

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

LCM of:
and

Least Common Multiple of 4613 and 4620

LCM of 4613 and 4620 is 3044580

Least common multiple can be found by multiplying the highest exponent prime factors of 4613 and 4620. First we will calculate the prime factors of 4613 and 4620.

Prime Factorization of 4613


7 4613
659 659
1

Prime factors of 4613 are 7,659. Prime factorization of 4613 in exponential form is:

4613 = 71×6591

Prime Factorization of 4620


2 4620
2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 4620 are 2, 3, 5, 7,11. Prime factorization of 4620 in exponential form is:

4620 = 22×31×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4613 and 4620.

LCM(4613,4620) = 22×31×51×71×111×6591
LCM(4613,4620) = 3044580

Factors of 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1, 7, 659, 4613

Factors of 4620

List of positive integer factors of 4620 that divides 4620 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620

Least Common Multiple of 4613 and 4620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4613 and 4620, than apply into the LCM equation.

GCF(4613,4620) = 7
LCM(4613,4620) = ( 4613 × 4620) / 7
LCM(4613,4620) = 21312060 / 7
LCM(4613,4620) = 3044580

Properties of LCM 4613 and 4620

(i) The LCM of 4620 and 4613 is associative

LCM of 4613 and 4620 = LCM of 4620 and 4613

Related Least Common Multiples of 4613

Related Least Common Multiples of 4620

Frequently Asked Questions on LCM of 4613 and 4620

1. What is the LCM of 4613 and 4620?

Answer: LCM of 4613 and 4620 is 3044580.

2. What are the Factors of 4613?

Answer: Factors of 4613 are 1, 7, 659, 4613. There are 4 integers that are factors of 4613. The greatest factor of 4613 is 4613.

3. What are the Factors of 4620?

Answer: Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620. There are 48 integers that are factors of 4620. The greatest factor of 4620 is 4620.

4. How to Find the LCM of 4613 and 4620?

Answer:

Least Common Multiple of 4613 and 4620 = 3044580

Step 1: Find the prime factorization of 4613

4613 = 7 x 659

Step 2: Find the prime factorization of 4620

4620 = 2 x 2 x 3 x 5 x 7 x 11

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

LCM = 3044580 = 2 x 2 x 3 x 5 x 7 x 11 x 659

Step 4: Therefore, the least common multiple of 4613 and 4620 is 3044580.