Least Common Multiple of 3542 and 3548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3542 and 3548 the smallest integer that is 6283508 that is divisible by both numbers.

Least Common Multiple (LCM) of 3542 and 3548 is 6283508.

LCM(3542,3548) = 6283508

LCM of 3542 and 3548

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

LCM of:
and

Least Common Multiple of 3542 and 3548

LCM of 3542 and 3548 is 6283508

Least common multiple can be found by multiplying the highest exponent prime factors of 3542 and 3548. First we will calculate the prime factors of 3542 and 3548.

Prime Factorization of 3542


2 3542
7 1771
11 253
23 23
1

Prime factors of 3542 are 2, 7, 11,23. Prime factorization of 3542 in exponential form is:

3542 = 21×71×111×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3542 and 3548.

LCM(3542,3548) = 22×71×111×231×8871
LCM(3542,3548) = 6283508

Factors of 3542

List of positive integer factors of 3542 that divides 3542 without a remainder.

1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542

Factors of 3548

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

1, 2, 4, 887, 1774, 3548

Least Common Multiple of 3542 and 3548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3542 and 3548, than apply into the LCM equation.

GCF(3542,3548) = 2
LCM(3542,3548) = ( 3542 × 3548) / 2
LCM(3542,3548) = 12567016 / 2
LCM(3542,3548) = 6283508

Properties of LCM 3542 and 3548

(i) The LCM of 3548 and 3542 is associative

LCM of 3542 and 3548 = LCM of 3548 and 3542

Related Least Common Multiples of 3542

Related Least Common Multiples of 3548

Frequently Asked Questions on LCM of 3542 and 3548

1. What is the LCM of 3542 and 3548?

Answer: LCM of 3542 and 3548 is 6283508.

2. What are the Factors of 3542?

Answer: Factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542. There are 16 integers that are factors of 3542. The greatest factor of 3542 is 3542.

3. 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.

4. How to Find the LCM of 3542 and 3548?

Answer:

Least Common Multiple of 3542 and 3548 = 6283508

Step 1: Find the prime factorization of 3542

3542 = 2 x 7 x 11 x 23

Step 2: Find the prime factorization of 3548

3548 = 2 x 2 x 887

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

LCM = 6283508 = 2 x 2 x 7 x 11 x 23 x 887

Step 4: Therefore, the least common multiple of 3542 and 3548 is 6283508.