Least Common Multiple of 548 and 554

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 554 the smallest integer that is 151796 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 554 is 151796.

LCM(548,554) = 151796

LCM of 548 and 554

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

LCM of:
and

Least Common Multiple of 548 and 554

LCM of 548 and 554 is 151796

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 554. First we will calculate the prime factors of 548 and 554.

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 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 554.

LCM(548,554) = 22×1371×2771
LCM(548,554) = 151796

Factors of 548

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

1, 2, 4, 137, 274, 548

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Least Common Multiple of 548 and 554 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 554, than apply into the LCM equation.

GCF(548,554) = 2
LCM(548,554) = ( 548 × 554) / 2
LCM(548,554) = 303592 / 2
LCM(548,554) = 151796

Properties of LCM 548 and 554

(i) The LCM of 554 and 548 is associative

LCM of 548 and 554 = LCM of 554 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 554

Frequently Asked Questions on LCM of 548 and 554

1. What is the LCM of 548 and 554?

Answer: LCM of 548 and 554 is 151796.

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 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

4. How to Find the LCM of 548 and 554?

Answer:

Least Common Multiple of 548 and 554 = 151796

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 554

554 = 2 x 277

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

LCM = 151796 = 2 x 2 x 137 x 277

Step 4: Therefore, the least common multiple of 548 and 554 is 151796.