Least Common Multiple of 4554 and 4561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4554 and 4561 the smallest integer that is 20770794 that is divisible by both numbers.

Least Common Multiple (LCM) of 4554 and 4561 is 20770794.

LCM(4554,4561) = 20770794

LCM of 4554 and 4561

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

LCM of:
and

Least Common Multiple of 4554 and 4561

LCM of 4554 and 4561 is 20770794

Least common multiple can be found by multiplying the highest exponent prime factors of 4554 and 4561. First we will calculate the prime factors of 4554 and 4561.

Prime Factorization of 4554


2 4554
3 2277
3 759
11 253
23 23
1

Prime factors of 4554 are 2, 3, 11,23. Prime factorization of 4554 in exponential form is:

4554 = 21×32×111×231

Prime Factorization of 4561


4561 4561
1

Prime factors of 4561 are 4561. Prime factorization of 4561 in exponential form is:

4561 = 45611

Now multiplying the highest exponent prime factors to calculate the LCM of 4554 and 4561.

LCM(4554,4561) = 21×32×111×231×45611
LCM(4554,4561) = 20770794

Factors of 4554

List of positive integer factors of 4554 that divides 4554 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554

Factors of 4561

List of positive integer factors of 4561 that divides 4561 without a remainder.

1, 4561

Least Common Multiple of 4554 and 4561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4554 and 4561, than apply into the LCM equation.

GCF(4554,4561) = 1
LCM(4554,4561) = ( 4554 × 4561) / 1
LCM(4554,4561) = 20770794 / 1
LCM(4554,4561) = 20770794

Properties of LCM 4554 and 4561

(i) The LCM of 4561 and 4554 is associative

LCM of 4554 and 4561 = LCM of 4561 and 4554

Related Least Common Multiples of 4554

Related Least Common Multiples of 4561

Frequently Asked Questions on LCM of 4554 and 4561

1. What is the LCM of 4554 and 4561?

Answer: LCM of 4554 and 4561 is 20770794.

2. What are the Factors of 4554?

Answer: Factors of 4554 are 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554. There are 24 integers that are factors of 4554. The greatest factor of 4554 is 4554.

3. What are the Factors of 4561?

Answer: Factors of 4561 are 1, 4561. There are 2 integers that are factors of 4561. The greatest factor of 4561 is 4561.

4. How to Find the LCM of 4554 and 4561?

Answer:

Least Common Multiple of 4554 and 4561 = 20770794

Step 1: Find the prime factorization of 4554

4554 = 2 x 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 4561

4561 = 4561

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

LCM = 20770794 = 2 x 3 x 3 x 11 x 23 x 4561

Step 4: Therefore, the least common multiple of 4554 and 4561 is 20770794.