Least Common Multiple of 546 and 550

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 550 the smallest integer that is 150150 that is divisible by both numbers.

Least Common Multiple (LCM) of 546 and 550 is 150150.

LCM(546,550) = 150150

LCM of 546 and 550

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

LCM of:
and

Least Common Multiple of 546 and 550

LCM of 546 and 550 is 150150

Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 550. First we will calculate the prime factors of 546 and 550.

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 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2, 5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 546 and 550.

LCM(546,550) = 21×31×52×71×111×131
LCM(546,550) = 150150

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 550

List of positive integer factors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Least Common Multiple of 546 and 550 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 550, than apply into the LCM equation.

GCF(546,550) = 2
LCM(546,550) = ( 546 × 550) / 2
LCM(546,550) = 300300 / 2
LCM(546,550) = 150150

Properties of LCM 546 and 550

(i) The LCM of 550 and 546 is associative

LCM of 546 and 550 = LCM of 550 and 546

Related Least Common Multiples of 546

Related Least Common Multiples of 550

Frequently Asked Questions on LCM of 546 and 550

1. What is the LCM of 546 and 550?

Answer: LCM of 546 and 550 is 150150.

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 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

4. How to Find the LCM of 546 and 550?

Answer:

Least Common Multiple of 546 and 550 = 150150

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

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

LCM = 150150 = 2 x 3 x 5 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 546 and 550 is 150150.