Least Common Multiple of 3543 and 3550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3543 and 3550 the smallest integer that is 12577650 that is divisible by both numbers.

Least Common Multiple (LCM) of 3543 and 3550 is 12577650.

LCM(3543,3550) = 12577650

LCM of 3543 and 3550

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

LCM of:
and

Least Common Multiple of 3543 and 3550

LCM of 3543 and 3550 is 12577650

Least common multiple can be found by multiplying the highest exponent prime factors of 3543 and 3550. First we will calculate the prime factors of 3543 and 3550.

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

Prime Factorization of 3550


2 3550
5 1775
5 355
71 71
1

Prime factors of 3550 are 2, 5,71. Prime factorization of 3550 in exponential form is:

3550 = 21×52×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3543 and 3550.

LCM(3543,3550) = 21×31×52×711×11811
LCM(3543,3550) = 12577650

Factors of 3543

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

1, 3, 1181, 3543

Factors of 3550

List of positive integer factors of 3550 that divides 3550 without a remainder.

1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550

Least Common Multiple of 3543 and 3550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3543 and 3550, than apply into the LCM equation.

GCF(3543,3550) = 1
LCM(3543,3550) = ( 3543 × 3550) / 1
LCM(3543,3550) = 12577650 / 1
LCM(3543,3550) = 12577650

Properties of LCM 3543 and 3550

(i) The LCM of 3550 and 3543 is associative

LCM of 3543 and 3550 = LCM of 3550 and 3543

Related Least Common Multiples of 3543

Related Least Common Multiples of 3550

Frequently Asked Questions on LCM of 3543 and 3550

1. What is the LCM of 3543 and 3550?

Answer: LCM of 3543 and 3550 is 12577650.

2. 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.

3. What are the Factors of 3550?

Answer: Factors of 3550 are 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550. There are 12 integers that are factors of 3550. The greatest factor of 3550 is 3550.

4. How to Find the LCM of 3543 and 3550?

Answer:

Least Common Multiple of 3543 and 3550 = 12577650

Step 1: Find the prime factorization of 3543

3543 = 3 x 1181

Step 2: Find the prime factorization of 3550

3550 = 2 x 5 x 5 x 71

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

LCM = 12577650 = 2 x 3 x 5 x 5 x 71 x 1181

Step 4: Therefore, the least common multiple of 3543 and 3550 is 12577650.