Least Common Multiple of 547 and 552

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 552 the smallest integer that is 301944 that is divisible by both numbers.

Least Common Multiple (LCM) of 547 and 552 is 301944.

LCM(547,552) = 301944

LCM of 547 and 552

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

LCM of:
and

Least Common Multiple of 547 and 552

LCM of 547 and 552 is 301944

Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 552. First we will calculate the prime factors of 547 and 552.

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 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2, 3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 547 and 552.

LCM(547,552) = 23×31×231×5471
LCM(547,552) = 301944

Factors of 547

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

1, 547

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Least Common Multiple of 547 and 552 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 552, than apply into the LCM equation.

GCF(547,552) = 1
LCM(547,552) = ( 547 × 552) / 1
LCM(547,552) = 301944 / 1
LCM(547,552) = 301944

Properties of LCM 547 and 552

(i) The LCM of 552 and 547 is associative

LCM of 547 and 552 = LCM of 552 and 547

Related Least Common Multiples of 547

Related Least Common Multiples of 552

Frequently Asked Questions on LCM of 547 and 552

1. What is the LCM of 547 and 552?

Answer: LCM of 547 and 552 is 301944.

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 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

4. How to Find the LCM of 547 and 552?

Answer:

Least Common Multiple of 547 and 552 = 301944

Step 1: Find the prime factorization of 547

547 = 547

Step 2: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

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

LCM = 301944 = 2 x 2 x 2 x 3 x 23 x 547

Step 4: Therefore, the least common multiple of 547 and 552 is 301944.