Least Common Multiple of 3550 and 3555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3550 and 3555 the smallest integer that is 2524050 that is divisible by both numbers.

Least Common Multiple (LCM) of 3550 and 3555 is 2524050.

LCM(3550,3555) = 2524050

LCM of 3550 and 3555

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

LCM of:
and

Least Common Multiple of 3550 and 3555

LCM of 3550 and 3555 is 2524050

Least common multiple can be found by multiplying the highest exponent prime factors of 3550 and 3555. First we will calculate the prime factors of 3550 and 3555.

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

Prime Factorization of 3555


3 3555
3 1185
5 395
79 79
1

Prime factors of 3555 are 3, 5,79. Prime factorization of 3555 in exponential form is:

3555 = 32×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3550 and 3555.

LCM(3550,3555) = 21×32×52×711×791
LCM(3550,3555) = 2524050

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

Factors of 3555

List of positive integer factors of 3555 that divides 3555 without a remainder.

1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555

Least Common Multiple of 3550 and 3555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3550 and 3555, than apply into the LCM equation.

GCF(3550,3555) = 5
LCM(3550,3555) = ( 3550 × 3555) / 5
LCM(3550,3555) = 12620250 / 5
LCM(3550,3555) = 2524050

Properties of LCM 3550 and 3555

(i) The LCM of 3555 and 3550 is associative

LCM of 3550 and 3555 = LCM of 3555 and 3550

Related Least Common Multiples of 3550

Related Least Common Multiples of 3555

Frequently Asked Questions on LCM of 3550 and 3555

1. What is the LCM of 3550 and 3555?

Answer: LCM of 3550 and 3555 is 2524050.

2. 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.

3. What are the Factors of 3555?

Answer: Factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555. There are 12 integers that are factors of 3555. The greatest factor of 3555 is 3555.

4. How to Find the LCM of 3550 and 3555?

Answer:

Least Common Multiple of 3550 and 3555 = 2524050

Step 1: Find the prime factorization of 3550

3550 = 2 x 5 x 5 x 71

Step 2: Find the prime factorization of 3555

3555 = 3 x 3 x 5 x 79

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

LCM = 2524050 = 2 x 3 x 3 x 5 x 5 x 71 x 79

Step 4: Therefore, the least common multiple of 3550 and 3555 is 2524050.