Least Common Multiple of 3547 and 3552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3547 and 3552 the smallest integer that is 12598944 that is divisible by both numbers.

Least Common Multiple (LCM) of 3547 and 3552 is 12598944.

LCM(3547,3552) = 12598944

LCM of 3547 and 3552

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

LCM of:
and

Least Common Multiple of 3547 and 3552

LCM of 3547 and 3552 is 12598944

Least common multiple can be found by multiplying the highest exponent prime factors of 3547 and 3552. First we will calculate the prime factors of 3547 and 3552.

Prime Factorization of 3547


3547 3547
1

Prime factors of 3547 are 3547. Prime factorization of 3547 in exponential form is:

3547 = 35471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3547 and 3552.

LCM(3547,3552) = 25×31×371×35471
LCM(3547,3552) = 12598944

Factors of 3547

List of positive integer factors of 3547 that divides 3547 without a remainder.

1, 3547

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

Least Common Multiple of 3547 and 3552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3547 and 3552, than apply into the LCM equation.

GCF(3547,3552) = 1
LCM(3547,3552) = ( 3547 × 3552) / 1
LCM(3547,3552) = 12598944 / 1
LCM(3547,3552) = 12598944

Properties of LCM 3547 and 3552

(i) The LCM of 3552 and 3547 is associative

LCM of 3547 and 3552 = LCM of 3552 and 3547

Related Least Common Multiples of 3547

Related Least Common Multiples of 3552

Frequently Asked Questions on LCM of 3547 and 3552

1. What is the LCM of 3547 and 3552?

Answer: LCM of 3547 and 3552 is 12598944.

2. What are the Factors of 3547?

Answer: Factors of 3547 are 1, 3547. There are 2 integers that are factors of 3547. The greatest factor of 3547 is 3547.

3. 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.

4. How to Find the LCM of 3547 and 3552?

Answer:

Least Common Multiple of 3547 and 3552 = 12598944

Step 1: Find the prime factorization of 3547

3547 = 3547

Step 2: Find the prime factorization of 3552

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

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

LCM = 12598944 = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 3547

Step 4: Therefore, the least common multiple of 3547 and 3552 is 12598944.