Least Common Multiple of 548 and 556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 548 and 556 the smallest integer that is 76172 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 556 is 76172.

LCM(548,556) = 76172

LCM of 548 and 556

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

LCM of:
and

Least Common Multiple of 548 and 556

LCM of 548 and 556 is 76172

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 556. First we will calculate the prime factors of 548 and 556.

Prime Factorization of 548


2 548
2 274
137 137
1

Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:

548 = 22×1371

Prime Factorization of 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 556.

LCM(548,556) = 22×1371×1391
LCM(548,556) = 76172

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Least Common Multiple of 548 and 556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 548 and 556, than apply into the LCM equation.

GCF(548,556) = 4
LCM(548,556) = ( 548 × 556) / 4
LCM(548,556) = 304688 / 4
LCM(548,556) = 76172

Properties of LCM 548 and 556

(i) The LCM of 556 and 548 is associative

LCM of 548 and 556 = LCM of 556 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 556

Frequently Asked Questions on LCM of 548 and 556

1. What is the LCM of 548 and 556?

Answer: LCM of 548 and 556 is 76172.

2. What are the Factors of 548?

Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.

3. What are the Factors of 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

4. How to Find the LCM of 548 and 556?

Answer:

Least Common Multiple of 548 and 556 = 76172

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 556

556 = 2 x 2 x 139

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

LCM = 76172 = 2 x 2 x 137 x 139

Step 4: Therefore, the least common multiple of 548 and 556 is 76172.