Least Common Multiple of 546 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 546 and 552 the smallest integer that is 50232 that is divisible by both numbers.

Least Common Multiple (LCM) of 546 and 552 is 50232.

LCM(546,552) = 50232

LCM of 546 and 552

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

LCM of:
and

Least Common Multiple of 546 and 552

LCM of 546 and 552 is 50232

Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 552. First we will calculate the prime factors of 546 and 552.

Prime Factorization of 546


2 546
3 273
7 91
13 13
1

Prime factors of 546 are 2, 3, 7,13. Prime factorization of 546 in exponential form is:

546 = 21×31×71×131

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 546 and 552.

LCM(546,552) = 23×31×71×131×231
LCM(546,552) = 50232

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 546 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 546 and 552, than apply into the LCM equation.

GCF(546,552) = 6
LCM(546,552) = ( 546 × 552) / 6
LCM(546,552) = 301392 / 6
LCM(546,552) = 50232

Properties of LCM 546 and 552

(i) The LCM of 552 and 546 is associative

LCM of 546 and 552 = LCM of 552 and 546

Related Least Common Multiples of 546

Related Least Common Multiples of 552

Frequently Asked Questions on LCM of 546 and 552

1. What is the LCM of 546 and 552?

Answer: LCM of 546 and 552 is 50232.

2. What are the Factors of 546?

Answer: Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. There are 16 integers that are factors of 546. The greatest factor of 546 is 546.

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 546 and 552?

Answer:

Least Common Multiple of 546 and 552 = 50232

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

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 = 50232 = 2 x 2 x 2 x 3 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 546 and 552 is 50232.