Least Common Multiple of 549 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 549 and 552 the smallest integer that is 101016 that is divisible by both numbers.

Least Common Multiple (LCM) of 549 and 552 is 101016.

LCM(549,552) = 101016

LCM of 549 and 552

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

LCM of:
and

Least Common Multiple of 549 and 552

LCM of 549 and 552 is 101016

Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 552. First we will calculate the prime factors of 549 and 552.

Prime Factorization of 549


3 549
3 183
61 61
1

Prime factors of 549 are 3,61. Prime factorization of 549 in exponential form is:

549 = 32×611

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 549 and 552.

LCM(549,552) = 23×32×231×611
LCM(549,552) = 101016

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

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 549 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 549 and 552, than apply into the LCM equation.

GCF(549,552) = 3
LCM(549,552) = ( 549 × 552) / 3
LCM(549,552) = 303048 / 3
LCM(549,552) = 101016

Properties of LCM 549 and 552

(i) The LCM of 552 and 549 is associative

LCM of 549 and 552 = LCM of 552 and 549

Related Least Common Multiples of 549

Related Least Common Multiples of 552

Frequently Asked Questions on LCM of 549 and 552

1. What is the LCM of 549 and 552?

Answer: LCM of 549 and 552 is 101016.

2. What are the Factors of 549?

Answer: Factors of 549 are 1, 3, 9, 61, 183, 549. There are 6 integers that are factors of 549. The greatest factor of 549 is 549.

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 549 and 552?

Answer:

Least Common Multiple of 549 and 552 = 101016

Step 1: Find the prime factorization of 549

549 = 3 x 3 x 61

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 = 101016 = 2 x 2 x 2 x 3 x 3 x 23 x 61

Step 4: Therefore, the least common multiple of 549 and 552 is 101016.