Least Common Multiple of 548 and 550

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 550 the smallest integer that is 150700 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 550 is 150700.

LCM(548,550) = 150700

LCM of 548 and 550

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

LCM of:
and

Least Common Multiple of 548 and 550

LCM of 548 and 550 is 150700

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 550. First we will calculate the prime factors of 548 and 550.

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 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2, 5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 550.

LCM(548,550) = 22×52×111×1371
LCM(548,550) = 150700

Factors of 548

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

1, 2, 4, 137, 274, 548

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Least Common Multiple of 548 and 550 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 550, than apply into the LCM equation.

GCF(548,550) = 2
LCM(548,550) = ( 548 × 550) / 2
LCM(548,550) = 301400 / 2
LCM(548,550) = 150700

Properties of LCM 548 and 550

(i) The LCM of 550 and 548 is associative

LCM of 548 and 550 = LCM of 550 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 550

Frequently Asked Questions on LCM of 548 and 550

1. What is the LCM of 548 and 550?

Answer: LCM of 548 and 550 is 150700.

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 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

4. How to Find the LCM of 548 and 550?

Answer:

Least Common Multiple of 548 and 550 = 150700

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

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

LCM = 150700 = 2 x 2 x 5 x 5 x 11 x 137

Step 4: Therefore, the least common multiple of 548 and 550 is 150700.