Least Common Multiple of 4614 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 4614 and 4620 the smallest integer that is 3552780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4614 and 4620 is 3552780.

LCM(4614,4620) = 3552780

LCM of 4614 and 4620

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

LCM of:
and

Least Common Multiple of 4614 and 4620

LCM of 4614 and 4620 is 3552780

Least common multiple can be found by multiplying the highest exponent prime factors of 4614 and 4620. First we will calculate the prime factors of 4614 and 4620.

Prime Factorization of 4614


2 4614
3 2307
769 769
1

Prime factors of 4614 are 2, 3,769. Prime factorization of 4614 in exponential form is:

4614 = 21×31×7691

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 4614 and 4620.

LCM(4614,4620) = 22×31×51×71×111×7691
LCM(4614,4620) = 3552780

Factors of 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1, 2, 3, 6, 769, 1538, 2307, 4614

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 4614 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 4614 and 4620, than apply into the LCM equation.

GCF(4614,4620) = 6
LCM(4614,4620) = ( 4614 × 4620) / 6
LCM(4614,4620) = 21316680 / 6
LCM(4614,4620) = 3552780

Properties of LCM 4614 and 4620

(i) The LCM of 4620 and 4614 is associative

LCM of 4614 and 4620 = LCM of 4620 and 4614

Related Least Common Multiples of 4614

Related Least Common Multiples of 4620

Frequently Asked Questions on LCM of 4614 and 4620

1. What is the LCM of 4614 and 4620?

Answer: LCM of 4614 and 4620 is 3552780.

2. What are the Factors of 4614?

Answer: Factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614. There are 8 integers that are factors of 4614. The greatest factor of 4614 is 4614.

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 4614 and 4620?

Answer:

Least Common Multiple of 4614 and 4620 = 3552780

Step 1: Find the prime factorization of 4614

4614 = 2 x 3 x 769

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 = 3552780 = 2 x 2 x 3 x 5 x 7 x 11 x 769

Step 4: Therefore, the least common multiple of 4614 and 4620 is 3552780.