Least Common Multiple of 4614 and 4621

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 4621 the smallest integer that is 21321294 that is divisible by both numbers.

Least Common Multiple (LCM) of 4614 and 4621 is 21321294.

LCM(4614,4621) = 21321294

LCM of 4614 and 4621

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

LCM of:
and

Least Common Multiple of 4614 and 4621

LCM of 4614 and 4621 is 21321294

Least common multiple can be found by multiplying the highest exponent prime factors of 4614 and 4621. First we will calculate the prime factors of 4614 and 4621.

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 4621


4621 4621
1

Prime factors of 4621 are 4621. Prime factorization of 4621 in exponential form is:

4621 = 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 4614 and 4621.

LCM(4614,4621) = 21×31×7691×46211
LCM(4614,4621) = 21321294

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 4621

List of positive integer factors of 4621 that divides 4621 without a remainder.

1, 4621

Least Common Multiple of 4614 and 4621 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 4621, than apply into the LCM equation.

GCF(4614,4621) = 1
LCM(4614,4621) = ( 4614 × 4621) / 1
LCM(4614,4621) = 21321294 / 1
LCM(4614,4621) = 21321294

Properties of LCM 4614 and 4621

(i) The LCM of 4621 and 4614 is associative

LCM of 4614 and 4621 = LCM of 4621 and 4614

Related Least Common Multiples of 4614

Related Least Common Multiples of 4621

Frequently Asked Questions on LCM of 4614 and 4621

1. What is the LCM of 4614 and 4621?

Answer: LCM of 4614 and 4621 is 21321294.

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 4621?

Answer: Factors of 4621 are 1, 4621. There are 2 integers that are factors of 4621. The greatest factor of 4621 is 4621.

4. How to Find the LCM of 4614 and 4621?

Answer:

Least Common Multiple of 4614 and 4621 = 21321294

Step 1: Find the prime factorization of 4614

4614 = 2 x 3 x 769

Step 2: Find the prime factorization of 4621

4621 = 4621

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

LCM = 21321294 = 2 x 3 x 769 x 4621

Step 4: Therefore, the least common multiple of 4614 and 4621 is 21321294.