Least Common Multiple of 3548 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 3548 and 3552 the smallest integer that is 3150624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3548 and 3552 is 3150624.

LCM(3548,3552) = 3150624

LCM of 3548 and 3552

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

LCM of:
and

Least Common Multiple of 3548 and 3552

LCM of 3548 and 3552 is 3150624

Least common multiple can be found by multiplying the highest exponent prime factors of 3548 and 3552. First we will calculate the prime factors of 3548 and 3552.

Prime Factorization of 3548


2 3548
2 1774
887 887
1

Prime factors of 3548 are 2,887. Prime factorization of 3548 in exponential form is:

3548 = 22×8871

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 3548 and 3552.

LCM(3548,3552) = 25×31×371×8871
LCM(3548,3552) = 3150624

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1, 2, 4, 887, 1774, 3548

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 3548 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 3548 and 3552, than apply into the LCM equation.

GCF(3548,3552) = 4
LCM(3548,3552) = ( 3548 × 3552) / 4
LCM(3548,3552) = 12602496 / 4
LCM(3548,3552) = 3150624

Properties of LCM 3548 and 3552

(i) The LCM of 3552 and 3548 is associative

LCM of 3548 and 3552 = LCM of 3552 and 3548

Related Least Common Multiples of 3548

Related Least Common Multiples of 3552

Frequently Asked Questions on LCM of 3548 and 3552

1. What is the LCM of 3548 and 3552?

Answer: LCM of 3548 and 3552 is 3150624.

2. What are the Factors of 3548?

Answer: Factors of 3548 are 1, 2, 4, 887, 1774, 3548. There are 6 integers that are factors of 3548. The greatest factor of 3548 is 3548.

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 3548 and 3552?

Answer:

Least Common Multiple of 3548 and 3552 = 3150624

Step 1: Find the prime factorization of 3548

3548 = 2 x 2 x 887

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 = 3150624 = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 887

Step 4: Therefore, the least common multiple of 3548 and 3552 is 3150624.