Least Common Multiple of 3545 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 3545 and 3552 the smallest integer that is 12591840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3545 and 3552 is 12591840.

LCM(3545,3552) = 12591840

LCM of 3545 and 3552

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

LCM of:
and

Least Common Multiple of 3545 and 3552

LCM of 3545 and 3552 is 12591840

Least common multiple can be found by multiplying the highest exponent prime factors of 3545 and 3552. First we will calculate the prime factors of 3545 and 3552.

Prime Factorization of 3545


5 3545
709 709
1

Prime factors of 3545 are 5,709. Prime factorization of 3545 in exponential form is:

3545 = 51×7091

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 3545 and 3552.

LCM(3545,3552) = 25×31×51×371×7091
LCM(3545,3552) = 12591840

Factors of 3545

List of positive integer factors of 3545 that divides 3545 without a remainder.

1, 5, 709, 3545

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 3545 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 3545 and 3552, than apply into the LCM equation.

GCF(3545,3552) = 1
LCM(3545,3552) = ( 3545 × 3552) / 1
LCM(3545,3552) = 12591840 / 1
LCM(3545,3552) = 12591840

Properties of LCM 3545 and 3552

(i) The LCM of 3552 and 3545 is associative

LCM of 3545 and 3552 = LCM of 3552 and 3545

Related Least Common Multiples of 3545

Related Least Common Multiples of 3552

Frequently Asked Questions on LCM of 3545 and 3552

1. What is the LCM of 3545 and 3552?

Answer: LCM of 3545 and 3552 is 12591840.

2. What are the Factors of 3545?

Answer: Factors of 3545 are 1, 5, 709, 3545. There are 4 integers that are factors of 3545. The greatest factor of 3545 is 3545.

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 3545 and 3552?

Answer:

Least Common Multiple of 3545 and 3552 = 12591840

Step 1: Find the prime factorization of 3545

3545 = 5 x 709

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 = 12591840 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 37 x 709

Step 4: Therefore, the least common multiple of 3545 and 3552 is 12591840.