Least Common Multiple of 541 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 541 and 546 the smallest integer that is 295386 that is divisible by both numbers.

Least Common Multiple (LCM) of 541 and 546 is 295386.

LCM(541,546) = 295386

LCM of 541 and 546

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

LCM of:
and

Least Common Multiple of 541 and 546

LCM of 541 and 546 is 295386

Least common multiple can be found by multiplying the highest exponent prime factors of 541 and 546. First we will calculate the prime factors of 541 and 546.

Prime Factorization of 541


541 541
1

Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:

541 = 5411

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 541 and 546.

LCM(541,546) = 21×31×71×131×5411
LCM(541,546) = 295386

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1, 541

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 541 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 541 and 546, than apply into the LCM equation.

GCF(541,546) = 1
LCM(541,546) = ( 541 × 546) / 1
LCM(541,546) = 295386 / 1
LCM(541,546) = 295386

Properties of LCM 541 and 546

(i) The LCM of 546 and 541 is associative

LCM of 541 and 546 = LCM of 546 and 541

Related Least Common Multiples of 541

Related Least Common Multiples of 546

Frequently Asked Questions on LCM of 541 and 546

1. What is the LCM of 541 and 546?

Answer: LCM of 541 and 546 is 295386.

2. What are the Factors of 541?

Answer: Factors of 541 are 1, 541. There are 2 integers that are factors of 541. The greatest factor of 541 is 541.

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 541 and 546?

Answer:

Least Common Multiple of 541 and 546 = 295386

Step 1: Find the prime factorization of 541

541 = 541

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 = 295386 = 2 x 3 x 7 x 13 x 541

Step 4: Therefore, the least common multiple of 541 and 546 is 295386.