Least Common Multiple of 544 and 546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 544 and 546 the smallest integer that is 148512 that is divisible by both numbers.

Least Common Multiple (LCM) of 544 and 546 is 148512.

LCM(544,546) = 148512

LCM of 544 and 546

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

LCM of:
and

Least Common Multiple of 544 and 546

LCM of 544 and 546 is 148512

Least common multiple can be found by multiplying the highest exponent prime factors of 544 and 546. First we will calculate the prime factors of 544 and 546.

Prime Factorization of 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 544 and 546.

LCM(544,546) = 25×31×71×131×171
LCM(544,546) = 148512

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

Least Common Multiple of 544 and 546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 544 and 546, than apply into the LCM equation.

GCF(544,546) = 2
LCM(544,546) = ( 544 × 546) / 2
LCM(544,546) = 297024 / 2
LCM(544,546) = 148512

Properties of LCM 544 and 546

(i) The LCM of 546 and 544 is associative

LCM of 544 and 546 = LCM of 546 and 544

Related Least Common Multiples of 544

Related Least Common Multiples of 546

Frequently Asked Questions on LCM of 544 and 546

1. What is the LCM of 544 and 546?

Answer: LCM of 544 and 546 is 148512.

2. What are the Factors of 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

3. 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.

4. How to Find the LCM of 544 and 546?

Answer:

Least Common Multiple of 544 and 546 = 148512

Step 1: Find the prime factorization of 544

544 = 2 x 2 x 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

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

LCM = 148512 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 544 and 546 is 148512.