Least Common Multiple of 3537 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 3537 and 3543 the smallest integer that is 4177197 that is divisible by both numbers.

Least Common Multiple (LCM) of 3537 and 3543 is 4177197.

LCM(3537,3543) = 4177197

LCM of 3537 and 3543

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

LCM of:
and

Least Common Multiple of 3537 and 3543

LCM of 3537 and 3543 is 4177197

Least common multiple can be found by multiplying the highest exponent prime factors of 3537 and 3543. First we will calculate the prime factors of 3537 and 3543.

Prime Factorization of 3537


3 3537
3 1179
3 393
131 131
1

Prime factors of 3537 are 3,131. Prime factorization of 3537 in exponential form is:

3537 = 33×1311

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 3537 and 3543.

LCM(3537,3543) = 33×1311×11811
LCM(3537,3543) = 4177197

Factors of 3537

List of positive integer factors of 3537 that divides 3537 without a remainder.

1, 3, 9, 27, 131, 393, 1179, 3537

Factors of 3543

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

1, 3, 1181, 3543

Least Common Multiple of 3537 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 3537 and 3543, than apply into the LCM equation.

GCF(3537,3543) = 3
LCM(3537,3543) = ( 3537 × 3543) / 3
LCM(3537,3543) = 12531591 / 3
LCM(3537,3543) = 4177197

Properties of LCM 3537 and 3543

(i) The LCM of 3543 and 3537 is associative

LCM of 3537 and 3543 = LCM of 3543 and 3537

Related Least Common Multiples of 3537

Related Least Common Multiples of 3543

Frequently Asked Questions on LCM of 3537 and 3543

1. What is the LCM of 3537 and 3543?

Answer: LCM of 3537 and 3543 is 4177197.

2. What are the Factors of 3537?

Answer: Factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537. There are 8 integers that are factors of 3537. The greatest factor of 3537 is 3537.

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 3537 and 3543?

Answer:

Least Common Multiple of 3537 and 3543 = 4177197

Step 1: Find the prime factorization of 3537

3537 = 3 x 3 x 3 x 131

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 = 4177197 = 3 x 3 x 3 x 131 x 1181

Step 4: Therefore, the least common multiple of 3537 and 3543 is 4177197.