Least Common Multiple of 548 and 555

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 555 the smallest integer that is 304140 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 555 is 304140.

LCM(548,555) = 304140

LCM of 548 and 555

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

LCM of:
and

Least Common Multiple of 548 and 555

LCM of 548 and 555 is 304140

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 555. First we will calculate the prime factors of 548 and 555.

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 555


3 555
5 185
37 37
1

Prime factors of 555 are 3, 5,37. Prime factorization of 555 in exponential form is:

555 = 31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 555.

LCM(548,555) = 22×31×51×371×1371
LCM(548,555) = 304140

Factors of 548

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

1, 2, 4, 137, 274, 548

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Least Common Multiple of 548 and 555 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 555, than apply into the LCM equation.

GCF(548,555) = 1
LCM(548,555) = ( 548 × 555) / 1
LCM(548,555) = 304140 / 1
LCM(548,555) = 304140

Properties of LCM 548 and 555

(i) The LCM of 555 and 548 is associative

LCM of 548 and 555 = LCM of 555 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 555

Frequently Asked Questions on LCM of 548 and 555

1. What is the LCM of 548 and 555?

Answer: LCM of 548 and 555 is 304140.

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 555?

Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.

4. How to Find the LCM of 548 and 555?

Answer:

Least Common Multiple of 548 and 555 = 304140

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 555

555 = 3 x 5 x 37

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

LCM = 304140 = 2 x 2 x 3 x 5 x 37 x 137

Step 4: Therefore, the least common multiple of 548 and 555 is 304140.