Least Common Multiple of 546 and 554

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 554 the smallest integer that is 151242 that is divisible by both numbers.

Least Common Multiple (LCM) of 546 and 554 is 151242.

LCM(546,554) = 151242

LCM of 546 and 554

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

LCM of:
and

Least Common Multiple of 546 and 554

LCM of 546 and 554 is 151242

Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 554. First we will calculate the prime factors of 546 and 554.

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 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 546 and 554.

LCM(546,554) = 21×31×71×131×2771
LCM(546,554) = 151242

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 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Least Common Multiple of 546 and 554 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 554, than apply into the LCM equation.

GCF(546,554) = 2
LCM(546,554) = ( 546 × 554) / 2
LCM(546,554) = 302484 / 2
LCM(546,554) = 151242

Properties of LCM 546 and 554

(i) The LCM of 554 and 546 is associative

LCM of 546 and 554 = LCM of 554 and 546

Related Least Common Multiples of 546

Related Least Common Multiples of 554

Frequently Asked Questions on LCM of 546 and 554

1. What is the LCM of 546 and 554?

Answer: LCM of 546 and 554 is 151242.

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 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

4. How to Find the LCM of 546 and 554?

Answer:

Least Common Multiple of 546 and 554 = 151242

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 554

554 = 2 x 277

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

LCM = 151242 = 2 x 3 x 7 x 13 x 277

Step 4: Therefore, the least common multiple of 546 and 554 is 151242.