Least Common Multiple of 4552 and 4559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4552 and 4559 the smallest integer that is 20752568 that is divisible by both numbers.

Least Common Multiple (LCM) of 4552 and 4559 is 20752568.

LCM(4552,4559) = 20752568

LCM of 4552 and 4559

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

LCM of:
and

Least Common Multiple of 4552 and 4559

LCM of 4552 and 4559 is 20752568

Least common multiple can be found by multiplying the highest exponent prime factors of 4552 and 4559. First we will calculate the prime factors of 4552 and 4559.

Prime Factorization of 4552


2 4552
2 2276
2 1138
569 569
1

Prime factors of 4552 are 2,569. Prime factorization of 4552 in exponential form is:

4552 = 23×5691

Prime Factorization of 4559


47 4559
97 97
1

Prime factors of 4559 are 47,97. Prime factorization of 4559 in exponential form is:

4559 = 471×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4552 and 4559.

LCM(4552,4559) = 23×471×971×5691
LCM(4552,4559) = 20752568

Factors of 4552

List of positive integer factors of 4552 that divides 4552 without a remainder.

1, 2, 4, 8, 569, 1138, 2276, 4552

Factors of 4559

List of positive integer factors of 4559 that divides 4559 without a remainder.

1, 47, 97, 4559

Least Common Multiple of 4552 and 4559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4552 and 4559, than apply into the LCM equation.

GCF(4552,4559) = 1
LCM(4552,4559) = ( 4552 × 4559) / 1
LCM(4552,4559) = 20752568 / 1
LCM(4552,4559) = 20752568

Properties of LCM 4552 and 4559

(i) The LCM of 4559 and 4552 is associative

LCM of 4552 and 4559 = LCM of 4559 and 4552

Related Least Common Multiples of 4552

Related Least Common Multiples of 4559

Frequently Asked Questions on LCM of 4552 and 4559

1. What is the LCM of 4552 and 4559?

Answer: LCM of 4552 and 4559 is 20752568.

2. What are the Factors of 4552?

Answer: Factors of 4552 are 1, 2, 4, 8, 569, 1138, 2276, 4552. There are 8 integers that are factors of 4552. The greatest factor of 4552 is 4552.

3. What are the Factors of 4559?

Answer: Factors of 4559 are 1, 47, 97, 4559. There are 4 integers that are factors of 4559. The greatest factor of 4559 is 4559.

4. How to Find the LCM of 4552 and 4559?

Answer:

Least Common Multiple of 4552 and 4559 = 20752568

Step 1: Find the prime factorization of 4552

4552 = 2 x 2 x 2 x 569

Step 2: Find the prime factorization of 4559

4559 = 47 x 97

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

LCM = 20752568 = 2 x 2 x 2 x 47 x 97 x 569

Step 4: Therefore, the least common multiple of 4552 and 4559 is 20752568.