Least Common Multiple of 545 and 549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 545 and 549 the smallest integer that is 299205 that is divisible by both numbers.

Least Common Multiple (LCM) of 545 and 549 is 299205.

LCM(545,549) = 299205

LCM of 545 and 549

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

LCM of:
and

Least Common Multiple of 545 and 549

LCM of 545 and 549 is 299205

Least common multiple can be found by multiplying the highest exponent prime factors of 545 and 549. First we will calculate the prime factors of 545 and 549.

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

Prime Factorization of 549


3 549
3 183
61 61
1

Prime factors of 549 are 3,61. Prime factorization of 549 in exponential form is:

549 = 32×611

Now multiplying the highest exponent prime factors to calculate the LCM of 545 and 549.

LCM(545,549) = 32×51×611×1091
LCM(545,549) = 299205

Factors of 545

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

1, 5, 109, 545

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Least Common Multiple of 545 and 549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 545 and 549, than apply into the LCM equation.

GCF(545,549) = 1
LCM(545,549) = ( 545 × 549) / 1
LCM(545,549) = 299205 / 1
LCM(545,549) = 299205

Properties of LCM 545 and 549

(i) The LCM of 549 and 545 is associative

LCM of 545 and 549 = LCM of 549 and 545

Related Least Common Multiples of 545

Related Least Common Multiples of 549

Frequently Asked Questions on LCM of 545 and 549

1. What is the LCM of 545 and 549?

Answer: LCM of 545 and 549 is 299205.

2. 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.

3. What are the Factors of 549?

Answer: Factors of 549 are 1, 3, 9, 61, 183, 549. There are 6 integers that are factors of 549. The greatest factor of 549 is 549.

4. How to Find the LCM of 545 and 549?

Answer:

Least Common Multiple of 545 and 549 = 299205

Step 1: Find the prime factorization of 545

545 = 5 x 109

Step 2: Find the prime factorization of 549

549 = 3 x 3 x 61

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

LCM = 299205 = 3 x 3 x 5 x 61 x 109

Step 4: Therefore, the least common multiple of 545 and 549 is 299205.