Least Common Multiple of 539 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 539 and 545 the smallest integer that is 293755 that is divisible by both numbers.

Least Common Multiple (LCM) of 539 and 545 is 293755.

LCM(539,545) = 293755

LCM of 539 and 545

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

LCM of:
and

Least Common Multiple of 539 and 545

LCM of 539 and 545 is 293755

Least common multiple can be found by multiplying the highest exponent prime factors of 539 and 545. First we will calculate the prime factors of 539 and 545.

Prime Factorization of 539


7 539
7 77
11 11
1

Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:

539 = 72×111

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 539 and 545.

LCM(539,545) = 51×72×111×1091
LCM(539,545) = 293755

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Factors of 545

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

1, 5, 109, 545

Least Common Multiple of 539 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 539 and 545, than apply into the LCM equation.

GCF(539,545) = 1
LCM(539,545) = ( 539 × 545) / 1
LCM(539,545) = 293755 / 1
LCM(539,545) = 293755

Properties of LCM 539 and 545

(i) The LCM of 545 and 539 is associative

LCM of 539 and 545 = LCM of 545 and 539

Related Least Common Multiples of 539

Related Least Common Multiples of 545

Frequently Asked Questions on LCM of 539 and 545

1. What is the LCM of 539 and 545?

Answer: LCM of 539 and 545 is 293755.

2. What are the Factors of 539?

Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.

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 539 and 545?

Answer:

Least Common Multiple of 539 and 545 = 293755

Step 1: Find the prime factorization of 539

539 = 7 x 7 x 11

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 = 293755 = 5 x 7 x 7 x 11 x 109

Step 4: Therefore, the least common multiple of 539 and 545 is 293755.