Least Common Multiple of 4616 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 4616 and 4621 the smallest integer that is 21330536 that is divisible by both numbers.

Least Common Multiple (LCM) of 4616 and 4621 is 21330536.

LCM(4616,4621) = 21330536

LCM of 4616 and 4621

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

LCM of:
and

Least Common Multiple of 4616 and 4621

LCM of 4616 and 4621 is 21330536

Least common multiple can be found by multiplying the highest exponent prime factors of 4616 and 4621. First we will calculate the prime factors of 4616 and 4621.

Prime Factorization of 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

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 4616 and 4621.

LCM(4616,4621) = 23×5771×46211
LCM(4616,4621) = 21330536

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1, 2, 4, 8, 577, 1154, 2308, 4616

Factors of 4621

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

1, 4621

Least Common Multiple of 4616 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 4616 and 4621, than apply into the LCM equation.

GCF(4616,4621) = 1
LCM(4616,4621) = ( 4616 × 4621) / 1
LCM(4616,4621) = 21330536 / 1
LCM(4616,4621) = 21330536

Properties of LCM 4616 and 4621

(i) The LCM of 4621 and 4616 is associative

LCM of 4616 and 4621 = LCM of 4621 and 4616

Related Least Common Multiples of 4616

Related Least Common Multiples of 4621

Frequently Asked Questions on LCM of 4616 and 4621

1. What is the LCM of 4616 and 4621?

Answer: LCM of 4616 and 4621 is 21330536.

2. What are the Factors of 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

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 4616 and 4621?

Answer:

Least Common Multiple of 4616 and 4621 = 21330536

Step 1: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

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 = 21330536 = 2 x 2 x 2 x 577 x 4621

Step 4: Therefore, the least common multiple of 4616 and 4621 is 21330536.