Least Common Multiple of 549 and 551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 549 and 551 the smallest integer that is 302499 that is divisible by both numbers.

Least Common Multiple (LCM) of 549 and 551 is 302499.

LCM(549,551) = 302499

LCM of 549 and 551

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

LCM of:
and

Least Common Multiple of 549 and 551

LCM of 549 and 551 is 302499

Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 551. First we will calculate the prime factors of 549 and 551.

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

Prime Factorization of 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 549 and 551.

LCM(549,551) = 32×191×291×611
LCM(549,551) = 302499

Factors of 549

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

1, 3, 9, 61, 183, 549

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Least Common Multiple of 549 and 551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 549 and 551, than apply into the LCM equation.

GCF(549,551) = 1
LCM(549,551) = ( 549 × 551) / 1
LCM(549,551) = 302499 / 1
LCM(549,551) = 302499

Properties of LCM 549 and 551

(i) The LCM of 551 and 549 is associative

LCM of 549 and 551 = LCM of 551 and 549

Related Least Common Multiples of 549

Related Least Common Multiples of 551

Frequently Asked Questions on LCM of 549 and 551

1. What is the LCM of 549 and 551?

Answer: LCM of 549 and 551 is 302499.

2. 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.

3. What are the Factors of 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

4. How to Find the LCM of 549 and 551?

Answer:

Least Common Multiple of 549 and 551 = 302499

Step 1: Find the prime factorization of 549

549 = 3 x 3 x 61

Step 2: Find the prime factorization of 551

551 = 19 x 29

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

LCM = 302499 = 3 x 3 x 19 x 29 x 61

Step 4: Therefore, the least common multiple of 549 and 551 is 302499.