Least Common Multiple of 540 and 545

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 545 the smallest integer that is 58860 that is divisible by both numbers.

Least Common Multiple (LCM) of 540 and 545 is 58860.

LCM(540,545) = 58860

LCM of 540 and 545

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

LCM of:
and

Least Common Multiple of 540 and 545

LCM of 540 and 545 is 58860

Least common multiple can be found by multiplying the highest exponent prime factors of 540 and 545. First we will calculate the prime factors of 540 and 545.

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 545


5 545
109 109
1

Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:

545 = 51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 540 and 545.

LCM(540,545) = 22×33×51×1091
LCM(540,545) = 58860

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 545

List of positive integer factors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Least Common Multiple of 540 and 545 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 545, than apply into the LCM equation.

GCF(540,545) = 5
LCM(540,545) = ( 540 × 545) / 5
LCM(540,545) = 294300 / 5
LCM(540,545) = 58860

Properties of LCM 540 and 545

(i) The LCM of 545 and 540 is associative

LCM of 540 and 545 = LCM of 545 and 540

Related Least Common Multiples of 540

Related Least Common Multiples of 545

Frequently Asked Questions on LCM of 540 and 545

1. What is the LCM of 540 and 545?

Answer: LCM of 540 and 545 is 58860.

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 545?

Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.

4. How to Find the LCM of 540 and 545?

Answer:

Least Common Multiple of 540 and 545 = 58860

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 545

545 = 5 x 109

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

LCM = 58860 = 2 x 2 x 3 x 3 x 3 x 5 x 109

Step 4: Therefore, the least common multiple of 540 and 545 is 58860.