Least Common Multiple of 4547 and 4552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4547 and 4552 the smallest integer that is 20697944 that is divisible by both numbers.

Least Common Multiple (LCM) of 4547 and 4552 is 20697944.

LCM(4547,4552) = 20697944

LCM of 4547 and 4552

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

LCM of:
and

Least Common Multiple of 4547 and 4552

LCM of 4547 and 4552 is 20697944

Least common multiple can be found by multiplying the highest exponent prime factors of 4547 and 4552. First we will calculate the prime factors of 4547 and 4552.

Prime Factorization of 4547


4547 4547
1

Prime factors of 4547 are 4547. Prime factorization of 4547 in exponential form is:

4547 = 45471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4547 and 4552.

LCM(4547,4552) = 23×5691×45471
LCM(4547,4552) = 20697944

Factors of 4547

List of positive integer factors of 4547 that divides 4547 without a remainder.

1, 4547

Factors of 4552

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

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

Least Common Multiple of 4547 and 4552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4547 and 4552, than apply into the LCM equation.

GCF(4547,4552) = 1
LCM(4547,4552) = ( 4547 × 4552) / 1
LCM(4547,4552) = 20697944 / 1
LCM(4547,4552) = 20697944

Properties of LCM 4547 and 4552

(i) The LCM of 4552 and 4547 is associative

LCM of 4547 and 4552 = LCM of 4552 and 4547

Related Least Common Multiples of 4547

Related Least Common Multiples of 4552

Frequently Asked Questions on LCM of 4547 and 4552

1. What is the LCM of 4547 and 4552?

Answer: LCM of 4547 and 4552 is 20697944.

2. What are the Factors of 4547?

Answer: Factors of 4547 are 1, 4547. There are 2 integers that are factors of 4547. The greatest factor of 4547 is 4547.

3. 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.

4. How to Find the LCM of 4547 and 4552?

Answer:

Least Common Multiple of 4547 and 4552 = 20697944

Step 1: Find the prime factorization of 4547

4547 = 4547

Step 2: Find the prime factorization of 4552

4552 = 2 x 2 x 2 x 569

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

LCM = 20697944 = 2 x 2 x 2 x 569 x 4547

Step 4: Therefore, the least common multiple of 4547 and 4552 is 20697944.