Least Common Multiple of 548 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 548 and 549 the smallest integer that is 300852 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 549 is 300852.

LCM(548,549) = 300852

LCM of 548 and 549

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

LCM of:
and

Least Common Multiple of 548 and 549

LCM of 548 and 549 is 300852

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 549. First we will calculate the prime factors of 548 and 549.

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

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 548 and 549.

LCM(548,549) = 22×32×611×1371
LCM(548,549) = 300852

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 548 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 548 and 549, than apply into the LCM equation.

GCF(548,549) = 1
LCM(548,549) = ( 548 × 549) / 1
LCM(548,549) = 300852 / 1
LCM(548,549) = 300852

Properties of LCM 548 and 549

(i) The LCM of 549 and 548 is associative

LCM of 548 and 549 = LCM of 549 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 549

Frequently Asked Questions on LCM of 548 and 549

1. What is the LCM of 548 and 549?

Answer: LCM of 548 and 549 is 300852.

2. 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.

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 548 and 549?

Answer:

Least Common Multiple of 548 and 549 = 300852

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

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 = 300852 = 2 x 2 x 3 x 3 x 61 x 137

Step 4: Therefore, the least common multiple of 548 and 549 is 300852.