Least Common Multiple of 4561 and 4565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4561 and 4565 the smallest integer that is 20820965 that is divisible by both numbers.

Least Common Multiple (LCM) of 4561 and 4565 is 20820965.

LCM(4561,4565) = 20820965

LCM of 4561 and 4565

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

LCM of:
and

Least Common Multiple of 4561 and 4565

LCM of 4561 and 4565 is 20820965

Least common multiple can be found by multiplying the highest exponent prime factors of 4561 and 4565. First we will calculate the prime factors of 4561 and 4565.

Prime Factorization of 4561


4561 4561
1

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

4561 = 45611

Prime Factorization of 4565


5 4565
11 913
83 83
1

Prime factors of 4565 are 5, 11,83. Prime factorization of 4565 in exponential form is:

4565 = 51×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4561 and 4565.

LCM(4561,4565) = 51×111×831×45611
LCM(4561,4565) = 20820965

Factors of 4561

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

1, 4561

Factors of 4565

List of positive integer factors of 4565 that divides 4565 without a remainder.

1, 5, 11, 55, 83, 415, 913, 4565

Least Common Multiple of 4561 and 4565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4561 and 4565, than apply into the LCM equation.

GCF(4561,4565) = 1
LCM(4561,4565) = ( 4561 × 4565) / 1
LCM(4561,4565) = 20820965 / 1
LCM(4561,4565) = 20820965

Properties of LCM 4561 and 4565

(i) The LCM of 4565 and 4561 is associative

LCM of 4561 and 4565 = LCM of 4565 and 4561

Related Least Common Multiples of 4561

Related Least Common Multiples of 4565

Frequently Asked Questions on LCM of 4561 and 4565

1. What is the LCM of 4561 and 4565?

Answer: LCM of 4561 and 4565 is 20820965.

2. 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.

3. What are the Factors of 4565?

Answer: Factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565. There are 8 integers that are factors of 4565. The greatest factor of 4565 is 4565.

4. How to Find the LCM of 4561 and 4565?

Answer:

Least Common Multiple of 4561 and 4565 = 20820965

Step 1: Find the prime factorization of 4561

4561 = 4561

Step 2: Find the prime factorization of 4565

4565 = 5 x 11 x 83

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

LCM = 20820965 = 5 x 11 x 83 x 4561

Step 4: Therefore, the least common multiple of 4561 and 4565 is 20820965.