Least Common Multiple of 547 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 547 and 550 the smallest integer that is 300850 that is divisible by both numbers.

Least Common Multiple (LCM) of 547 and 550 is 300850.

LCM(547,550) = 300850

LCM of 547 and 550

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

LCM of:
and

Least Common Multiple of 547 and 550

LCM of 547 and 550 is 300850

Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 550. First we will calculate the prime factors of 547 and 550.

Prime Factorization of 547


547 547
1

Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:

547 = 5471

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 547 and 550.

LCM(547,550) = 21×52×111×5471
LCM(547,550) = 300850

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1, 547

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 547 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 547 and 550, than apply into the LCM equation.

GCF(547,550) = 1
LCM(547,550) = ( 547 × 550) / 1
LCM(547,550) = 300850 / 1
LCM(547,550) = 300850

Properties of LCM 547 and 550

(i) The LCM of 550 and 547 is associative

LCM of 547 and 550 = LCM of 550 and 547

Related Least Common Multiples of 547

Related Least Common Multiples of 550

Frequently Asked Questions on LCM of 547 and 550

1. What is the LCM of 547 and 550?

Answer: LCM of 547 and 550 is 300850.

2. What are the Factors of 547?

Answer: Factors of 547 are 1, 547. There are 2 integers that are factors of 547. The greatest factor of 547 is 547.

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 547 and 550?

Answer:

Least Common Multiple of 547 and 550 = 300850

Step 1: Find the prime factorization of 547

547 = 547

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 = 300850 = 2 x 5 x 5 x 11 x 547

Step 4: Therefore, the least common multiple of 547 and 550 is 300850.