Least Common Multiple of 4552 and 4557

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 4557 the smallest integer that is 20743464 that is divisible by both numbers.

Least Common Multiple (LCM) of 4552 and 4557 is 20743464.

LCM(4552,4557) = 20743464

LCM of 4552 and 4557

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

LCM of:
and

Least Common Multiple of 4552 and 4557

LCM of 4552 and 4557 is 20743464

Least common multiple can be found by multiplying the highest exponent prime factors of 4552 and 4557. First we will calculate the prime factors of 4552 and 4557.

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 4557


3 4557
7 1519
7 217
31 31
1

Prime factors of 4557 are 3, 7,31. Prime factorization of 4557 in exponential form is:

4557 = 31×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4552 and 4557.

LCM(4552,4557) = 23×31×72×311×5691
LCM(4552,4557) = 20743464

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 4557

List of positive integer factors of 4557 that divides 4557 without a remainder.

1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557

Least Common Multiple of 4552 and 4557 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 4557, than apply into the LCM equation.

GCF(4552,4557) = 1
LCM(4552,4557) = ( 4552 × 4557) / 1
LCM(4552,4557) = 20743464 / 1
LCM(4552,4557) = 20743464

Properties of LCM 4552 and 4557

(i) The LCM of 4557 and 4552 is associative

LCM of 4552 and 4557 = LCM of 4557 and 4552

Related Least Common Multiples of 4552

Related Least Common Multiples of 4557

Frequently Asked Questions on LCM of 4552 and 4557

1. What is the LCM of 4552 and 4557?

Answer: LCM of 4552 and 4557 is 20743464.

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 4557?

Answer: Factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557. There are 12 integers that are factors of 4557. The greatest factor of 4557 is 4557.

4. How to Find the LCM of 4552 and 4557?

Answer:

Least Common Multiple of 4552 and 4557 = 20743464

Step 1: Find the prime factorization of 4552

4552 = 2 x 2 x 2 x 569

Step 2: Find the prime factorization of 4557

4557 = 3 x 7 x 7 x 31

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

LCM = 20743464 = 2 x 2 x 2 x 3 x 7 x 7 x 31 x 569

Step 4: Therefore, the least common multiple of 4552 and 4557 is 20743464.