Least Common Multiple of 3552 and 3557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3552 and 3557 the smallest integer that is 12634464 that is divisible by both numbers.

Least Common Multiple (LCM) of 3552 and 3557 is 12634464.

LCM(3552,3557) = 12634464

LCM of 3552 and 3557

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

LCM of:
and

Least Common Multiple of 3552 and 3557

LCM of 3552 and 3557 is 12634464

Least common multiple can be found by multiplying the highest exponent prime factors of 3552 and 3557. First we will calculate the prime factors of 3552 and 3557.

Prime Factorization of 3552


2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 3552 are 2, 3,37. Prime factorization of 3552 in exponential form is:

3552 = 25×31×371

Prime Factorization of 3557


3557 3557
1

Prime factors of 3557 are 3557. Prime factorization of 3557 in exponential form is:

3557 = 35571

Now multiplying the highest exponent prime factors to calculate the LCM of 3552 and 3557.

LCM(3552,3557) = 25×31×371×35571
LCM(3552,3557) = 12634464

Factors of 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552

Factors of 3557

List of positive integer factors of 3557 that divides 3557 without a remainder.

1, 3557

Least Common Multiple of 3552 and 3557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3552 and 3557, than apply into the LCM equation.

GCF(3552,3557) = 1
LCM(3552,3557) = ( 3552 × 3557) / 1
LCM(3552,3557) = 12634464 / 1
LCM(3552,3557) = 12634464

Properties of LCM 3552 and 3557

(i) The LCM of 3557 and 3552 is associative

LCM of 3552 and 3557 = LCM of 3557 and 3552

Related Least Common Multiples of 3552

Related Least Common Multiples of 3557

Frequently Asked Questions on LCM of 3552 and 3557

1. What is the LCM of 3552 and 3557?

Answer: LCM of 3552 and 3557 is 12634464.

2. What are the Factors of 3552?

Answer: Factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. There are 24 integers that are factors of 3552. The greatest factor of 3552 is 3552.

3. What are the Factors of 3557?

Answer: Factors of 3557 are 1, 3557. There are 2 integers that are factors of 3557. The greatest factor of 3557 is 3557.

4. How to Find the LCM of 3552 and 3557?

Answer:

Least Common Multiple of 3552 and 3557 = 12634464

Step 1: Find the prime factorization of 3552

3552 = 2 x 2 x 2 x 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 3557

3557 = 3557

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

LCM = 12634464 = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 3557

Step 4: Therefore, the least common multiple of 3552 and 3557 is 12634464.