Least Common Multiple of 3544 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 3544 and 3550 the smallest integer that is 6290600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3544 and 3550 is 6290600.

LCM(3544,3550) = 6290600

LCM of 3544 and 3550

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

LCM of:
and

Least Common Multiple of 3544 and 3550

LCM of 3544 and 3550 is 6290600

Least common multiple can be found by multiplying the highest exponent prime factors of 3544 and 3550. First we will calculate the prime factors of 3544 and 3550.

Prime Factorization of 3544


2 3544
2 1772
2 886
443 443
1

Prime factors of 3544 are 2,443. Prime factorization of 3544 in exponential form is:

3544 = 23×4431

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 3544 and 3550.

LCM(3544,3550) = 23×52×711×4431
LCM(3544,3550) = 6290600

Factors of 3544

List of positive integer factors of 3544 that divides 3544 without a remainder.

1, 2, 4, 8, 443, 886, 1772, 3544

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 3544 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 3544 and 3550, than apply into the LCM equation.

GCF(3544,3550) = 2
LCM(3544,3550) = ( 3544 × 3550) / 2
LCM(3544,3550) = 12581200 / 2
LCM(3544,3550) = 6290600

Properties of LCM 3544 and 3550

(i) The LCM of 3550 and 3544 is associative

LCM of 3544 and 3550 = LCM of 3550 and 3544

Related Least Common Multiples of 3544

Related Least Common Multiples of 3550

Frequently Asked Questions on LCM of 3544 and 3550

1. What is the LCM of 3544 and 3550?

Answer: LCM of 3544 and 3550 is 6290600.

2. What are the Factors of 3544?

Answer: Factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544. There are 8 integers that are factors of 3544. The greatest factor of 3544 is 3544.

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 3544 and 3550?

Answer:

Least Common Multiple of 3544 and 3550 = 6290600

Step 1: Find the prime factorization of 3544

3544 = 2 x 2 x 2 x 443

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 = 6290600 = 2 x 2 x 2 x 5 x 5 x 71 x 443

Step 4: Therefore, the least common multiple of 3544 and 3550 is 6290600.