Least Common Multiple of 547 and 553

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 553 the smallest integer that is 302491 that is divisible by both numbers.

Least Common Multiple (LCM) of 547 and 553 is 302491.

LCM(547,553) = 302491

LCM of 547 and 553

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

LCM of:
and

Least Common Multiple of 547 and 553

LCM of 547 and 553 is 302491

Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 553. First we will calculate the prime factors of 547 and 553.

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 553


7 553
79 79
1

Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:

553 = 71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 547 and 553.

LCM(547,553) = 71×791×5471
LCM(547,553) = 302491

Factors of 547

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

1, 547

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Least Common Multiple of 547 and 553 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 553, than apply into the LCM equation.

GCF(547,553) = 1
LCM(547,553) = ( 547 × 553) / 1
LCM(547,553) = 302491 / 1
LCM(547,553) = 302491

Properties of LCM 547 and 553

(i) The LCM of 553 and 547 is associative

LCM of 547 and 553 = LCM of 553 and 547

Related Least Common Multiples of 547

Related Least Common Multiples of 553

Frequently Asked Questions on LCM of 547 and 553

1. What is the LCM of 547 and 553?

Answer: LCM of 547 and 553 is 302491.

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 553?

Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.

4. How to Find the LCM of 547 and 553?

Answer:

Least Common Multiple of 547 and 553 = 302491

Step 1: Find the prime factorization of 547

547 = 547

Step 2: Find the prime factorization of 553

553 = 7 x 79

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

LCM = 302491 = 7 x 79 x 547

Step 4: Therefore, the least common multiple of 547 and 553 is 302491.