Least Common Multiple of 4616 and 4623

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 4623 the smallest integer that is 21339768 that is divisible by both numbers.

Least Common Multiple (LCM) of 4616 and 4623 is 21339768.

LCM(4616,4623) = 21339768

LCM of 4616 and 4623

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

LCM of:
and

Least Common Multiple of 4616 and 4623

LCM of 4616 and 4623 is 21339768

Least common multiple can be found by multiplying the highest exponent prime factors of 4616 and 4623. First we will calculate the prime factors of 4616 and 4623.

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 4623


3 4623
23 1541
67 67
1

Prime factors of 4623 are 3, 23,67. Prime factorization of 4623 in exponential form is:

4623 = 31×231×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4616 and 4623.

LCM(4616,4623) = 23×31×231×671×5771
LCM(4616,4623) = 21339768

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 4623

List of positive integer factors of 4623 that divides 4623 without a remainder.

1, 3, 23, 67, 69, 201, 1541, 4623

Least Common Multiple of 4616 and 4623 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 4623, than apply into the LCM equation.

GCF(4616,4623) = 1
LCM(4616,4623) = ( 4616 × 4623) / 1
LCM(4616,4623) = 21339768 / 1
LCM(4616,4623) = 21339768

Properties of LCM 4616 and 4623

(i) The LCM of 4623 and 4616 is associative

LCM of 4616 and 4623 = LCM of 4623 and 4616

Related Least Common Multiples of 4616

Related Least Common Multiples of 4623

Frequently Asked Questions on LCM of 4616 and 4623

1. What is the LCM of 4616 and 4623?

Answer: LCM of 4616 and 4623 is 21339768.

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 4623?

Answer: Factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623. There are 8 integers that are factors of 4623. The greatest factor of 4623 is 4623.

4. How to Find the LCM of 4616 and 4623?

Answer:

Least Common Multiple of 4616 and 4623 = 21339768

Step 1: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

Step 2: Find the prime factorization of 4623

4623 = 3 x 23 x 67

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

LCM = 21339768 = 2 x 2 x 2 x 3 x 23 x 67 x 577

Step 4: Therefore, the least common multiple of 4616 and 4623 is 21339768.