Least Common Multiple of 3538 and 3543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3538 and 3543 the smallest integer that is 12535134 that is divisible by both numbers.

Least Common Multiple (LCM) of 3538 and 3543 is 12535134.

LCM(3538,3543) = 12535134

LCM of 3538 and 3543

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

LCM of:
and

Least Common Multiple of 3538 and 3543

LCM of 3538 and 3543 is 12535134

Least common multiple can be found by multiplying the highest exponent prime factors of 3538 and 3543. First we will calculate the prime factors of 3538 and 3543.

Prime Factorization of 3538


2 3538
29 1769
61 61
1

Prime factors of 3538 are 2, 29,61. Prime factorization of 3538 in exponential form is:

3538 = 21×291×611

Prime Factorization of 3543


3 3543
1181 1181
1

Prime factors of 3543 are 3,1181. Prime factorization of 3543 in exponential form is:

3543 = 31×11811

Now multiplying the highest exponent prime factors to calculate the LCM of 3538 and 3543.

LCM(3538,3543) = 21×31×291×611×11811
LCM(3538,3543) = 12535134

Factors of 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1, 2, 29, 58, 61, 122, 1769, 3538

Factors of 3543

List of positive integer factors of 3543 that divides 3543 without a remainder.

1, 3, 1181, 3543

Least Common Multiple of 3538 and 3543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3538 and 3543, than apply into the LCM equation.

GCF(3538,3543) = 1
LCM(3538,3543) = ( 3538 × 3543) / 1
LCM(3538,3543) = 12535134 / 1
LCM(3538,3543) = 12535134

Properties of LCM 3538 and 3543

(i) The LCM of 3543 and 3538 is associative

LCM of 3538 and 3543 = LCM of 3543 and 3538

Related Least Common Multiples of 3538

Related Least Common Multiples of 3543

Frequently Asked Questions on LCM of 3538 and 3543

1. What is the LCM of 3538 and 3543?

Answer: LCM of 3538 and 3543 is 12535134.

2. What are the Factors of 3538?

Answer: Factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538. There are 8 integers that are factors of 3538. The greatest factor of 3538 is 3538.

3. What are the Factors of 3543?

Answer: Factors of 3543 are 1, 3, 1181, 3543. There are 4 integers that are factors of 3543. The greatest factor of 3543 is 3543.

4. How to Find the LCM of 3538 and 3543?

Answer:

Least Common Multiple of 3538 and 3543 = 12535134

Step 1: Find the prime factorization of 3538

3538 = 2 x 29 x 61

Step 2: Find the prime factorization of 3543

3543 = 3 x 1181

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

LCM = 12535134 = 2 x 3 x 29 x 61 x 1181

Step 4: Therefore, the least common multiple of 3538 and 3543 is 12535134.