Least Common Multiple of 540 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 540 and 548 the smallest integer that is 73980 that is divisible by both numbers.

Least Common Multiple (LCM) of 540 and 548 is 73980.

LCM(540,548) = 73980

LCM of 540 and 548

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

LCM of:
and

Least Common Multiple of 540 and 548

LCM of 540 and 548 is 73980

Least common multiple can be found by multiplying the highest exponent prime factors of 540 and 548. First we will calculate the prime factors of 540 and 548.

Prime Factorization of 540


2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 540 are 2, 3,5. Prime factorization of 540 in exponential form is:

540 = 22×33×51

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 540 and 548.

LCM(540,548) = 22×33×51×1371
LCM(540,548) = 73980

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 540 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 540 and 548, than apply into the LCM equation.

GCF(540,548) = 4
LCM(540,548) = ( 540 × 548) / 4
LCM(540,548) = 295920 / 4
LCM(540,548) = 73980

Properties of LCM 540 and 548

(i) The LCM of 548 and 540 is associative

LCM of 540 and 548 = LCM of 548 and 540

Related Least Common Multiples of 540

Related Least Common Multiples of 548

Frequently Asked Questions on LCM of 540 and 548

1. What is the LCM of 540 and 548?

Answer: LCM of 540 and 548 is 73980.

2. What are the Factors of 540?

Answer: Factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. There are 24 integers that are factors of 540. The greatest factor of 540 is 540.

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 540 and 548?

Answer:

Least Common Multiple of 540 and 548 = 73980

Step 1: Find the prime factorization of 540

540 = 2 x 2 x 3 x 3 x 3 x 5

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 = 73980 = 2 x 2 x 3 x 3 x 3 x 5 x 137

Step 4: Therefore, the least common multiple of 540 and 548 is 73980.