Least Common Multiple of 3548 and 3556

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 3556 the smallest integer that is 3154172 that is divisible by both numbers.

Least Common Multiple (LCM) of 3548 and 3556 is 3154172.

LCM(3548,3556) = 3154172

LCM of 3548 and 3556

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

LCM of:
and

Least Common Multiple of 3548 and 3556

LCM of 3548 and 3556 is 3154172

Least common multiple can be found by multiplying the highest exponent prime factors of 3548 and 3556. First we will calculate the prime factors of 3548 and 3556.

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 3556


2 3556
2 1778
7 889
127 127
1

Prime factors of 3556 are 2, 7,127. Prime factorization of 3556 in exponential form is:

3556 = 22×71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3548 and 3556.

LCM(3548,3556) = 22×71×1271×8871
LCM(3548,3556) = 3154172

Factors of 3548

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

1, 2, 4, 887, 1774, 3548

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556

Least Common Multiple of 3548 and 3556 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 3556, than apply into the LCM equation.

GCF(3548,3556) = 4
LCM(3548,3556) = ( 3548 × 3556) / 4
LCM(3548,3556) = 12616688 / 4
LCM(3548,3556) = 3154172

Properties of LCM 3548 and 3556

(i) The LCM of 3556 and 3548 is associative

LCM of 3548 and 3556 = LCM of 3556 and 3548

Related Least Common Multiples of 3548

Related Least Common Multiples of 3556

Frequently Asked Questions on LCM of 3548 and 3556

1. What is the LCM of 3548 and 3556?

Answer: LCM of 3548 and 3556 is 3154172.

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 3556?

Answer: Factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556. There are 12 integers that are factors of 3556. The greatest factor of 3556 is 3556.

4. How to Find the LCM of 3548 and 3556?

Answer:

Least Common Multiple of 3548 and 3556 = 3154172

Step 1: Find the prime factorization of 3548

3548 = 2 x 2 x 887

Step 2: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

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

LCM = 3154172 = 2 x 2 x 7 x 127 x 887

Step 4: Therefore, the least common multiple of 3548 and 3556 is 3154172.