Least Common Multiple of 547 and 551

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 551 the smallest integer that is 301397 that is divisible by both numbers.

Least Common Multiple (LCM) of 547 and 551 is 301397.

LCM(547,551) = 301397

LCM of 547 and 551

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

LCM of:
and

Least Common Multiple of 547 and 551

LCM of 547 and 551 is 301397

Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 551. First we will calculate the prime factors of 547 and 551.

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 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 547 and 551.

LCM(547,551) = 191×291×5471
LCM(547,551) = 301397

Factors of 547

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

1, 547

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Least Common Multiple of 547 and 551 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 551, than apply into the LCM equation.

GCF(547,551) = 1
LCM(547,551) = ( 547 × 551) / 1
LCM(547,551) = 301397 / 1
LCM(547,551) = 301397

Properties of LCM 547 and 551

(i) The LCM of 551 and 547 is associative

LCM of 547 and 551 = LCM of 551 and 547

Related Least Common Multiples of 547

Related Least Common Multiples of 551

Frequently Asked Questions on LCM of 547 and 551

1. What is the LCM of 547 and 551?

Answer: LCM of 547 and 551 is 301397.

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 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

4. How to Find the LCM of 547 and 551?

Answer:

Least Common Multiple of 547 and 551 = 301397

Step 1: Find the prime factorization of 547

547 = 547

Step 2: Find the prime factorization of 551

551 = 19 x 29

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

LCM = 301397 = 19 x 29 x 547

Step 4: Therefore, the least common multiple of 547 and 551 is 301397.