Least Common Multiple of 4544 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 4544 and 4552 the smallest integer that is 2585536 that is divisible by both numbers.

Least Common Multiple (LCM) of 4544 and 4552 is 2585536.

LCM(4544,4552) = 2585536

LCM of 4544 and 4552

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

LCM of:
and

Least Common Multiple of 4544 and 4552

LCM of 4544 and 4552 is 2585536

Least common multiple can be found by multiplying the highest exponent prime factors of 4544 and 4552. First we will calculate the prime factors of 4544 and 4552.

Prime Factorization of 4544


2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 4544 are 2,71. Prime factorization of 4544 in exponential form is:

4544 = 26×711

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 4544 and 4552.

LCM(4544,4552) = 26×711×5691
LCM(4544,4552) = 2585536

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544

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 4544 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 4544 and 4552, than apply into the LCM equation.

GCF(4544,4552) = 8
LCM(4544,4552) = ( 4544 × 4552) / 8
LCM(4544,4552) = 20684288 / 8
LCM(4544,4552) = 2585536

Properties of LCM 4544 and 4552

(i) The LCM of 4552 and 4544 is associative

LCM of 4544 and 4552 = LCM of 4552 and 4544

Related Least Common Multiples of 4544

Related Least Common Multiples of 4552

Frequently Asked Questions on LCM of 4544 and 4552

1. What is the LCM of 4544 and 4552?

Answer: LCM of 4544 and 4552 is 2585536.

2. What are the Factors of 4544?

Answer: Factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544. There are 14 integers that are factors of 4544. The greatest factor of 4544 is 4544.

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 4544 and 4552?

Answer:

Least Common Multiple of 4544 and 4552 = 2585536

Step 1: Find the prime factorization of 4544

4544 = 2 x 2 x 2 x 2 x 2 x 2 x 71

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 = 2585536 = 2 x 2 x 2 x 2 x 2 x 2 x 71 x 569

Step 4: Therefore, the least common multiple of 4544 and 4552 is 2585536.