Least Common Multiple of 541 and 548

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 548 the smallest integer that is 296468 that is divisible by both numbers.

Least Common Multiple (LCM) of 541 and 548 is 296468.

LCM(541,548) = 296468

LCM of 541 and 548

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

LCM of:
and

Least Common Multiple of 541 and 548

LCM of 541 and 548 is 296468

Least common multiple can be found by multiplying the highest exponent prime factors of 541 and 548. First we will calculate the prime factors of 541 and 548.

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 548


2 548
2 274
137 137
1

Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:

548 = 22×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 541 and 548.

LCM(541,548) = 22×1371×5411
LCM(541,548) = 296468

Factors of 541

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

1, 541

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Least Common Multiple of 541 and 548 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 548, than apply into the LCM equation.

GCF(541,548) = 1
LCM(541,548) = ( 541 × 548) / 1
LCM(541,548) = 296468 / 1
LCM(541,548) = 296468

Properties of LCM 541 and 548

(i) The LCM of 548 and 541 is associative

LCM of 541 and 548 = LCM of 548 and 541

Related Least Common Multiples of 541

Related Least Common Multiples of 548

Frequently Asked Questions on LCM of 541 and 548

1. What is the LCM of 541 and 548?

Answer: LCM of 541 and 548 is 296468.

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 548?

Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.

4. How to Find the LCM of 541 and 548?

Answer:

Least Common Multiple of 541 and 548 = 296468

Step 1: Find the prime factorization of 541

541 = 541

Step 2: Find the prime factorization of 548

548 = 2 x 2 x 137

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

LCM = 296468 = 2 x 2 x 137 x 541

Step 4: Therefore, the least common multiple of 541 and 548 is 296468.