Least Common Multiple of 3548 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 3548 and 3555 the smallest integer that is 12613140 that is divisible by both numbers.

Least Common Multiple (LCM) of 3548 and 3555 is 12613140.

LCM(3548,3555) = 12613140

LCM of 3548 and 3555

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

LCM of:
and

Least Common Multiple of 3548 and 3555

LCM of 3548 and 3555 is 12613140

Least common multiple can be found by multiplying the highest exponent prime factors of 3548 and 3555. First we will calculate the prime factors of 3548 and 3555.

Prime Factorization of 3548


2 3548
2 1774
887 887
1

Prime factors of 3548 are 2,887. Prime factorization of 3548 in exponential form is:

3548 = 22×8871

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 3548 and 3555.

LCM(3548,3555) = 22×32×51×791×8871
LCM(3548,3555) = 12613140

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1, 2, 4, 887, 1774, 3548

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 3548 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 3548 and 3555, than apply into the LCM equation.

GCF(3548,3555) = 1
LCM(3548,3555) = ( 3548 × 3555) / 1
LCM(3548,3555) = 12613140 / 1
LCM(3548,3555) = 12613140

Properties of LCM 3548 and 3555

(i) The LCM of 3555 and 3548 is associative

LCM of 3548 and 3555 = LCM of 3555 and 3548

Related Least Common Multiples of 3548

Related Least Common Multiples of 3555

Frequently Asked Questions on LCM of 3548 and 3555

1. What is the LCM of 3548 and 3555?

Answer: LCM of 3548 and 3555 is 12613140.

2. What are the Factors of 3548?

Answer: Factors of 3548 are 1, 2, 4, 887, 1774, 3548. There are 6 integers that are factors of 3548. The greatest factor of 3548 is 3548.

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 3548 and 3555?

Answer:

Least Common Multiple of 3548 and 3555 = 12613140

Step 1: Find the prime factorization of 3548

3548 = 2 x 2 x 887

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 = 12613140 = 2 x 2 x 3 x 3 x 5 x 79 x 887

Step 4: Therefore, the least common multiple of 3548 and 3555 is 12613140.