Least Common Multiple of 547 and 548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 547 and 548 the smallest integer that is 299756 that is divisible by both numbers.

Least Common Multiple (LCM) of 547 and 548 is 299756.

LCM(547,548) = 299756

LCM of 547 and 548

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

LCM of:
and

Least Common Multiple of 547 and 548

LCM of 547 and 548 is 299756

Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 548. First we will calculate the prime factors of 547 and 548.

Prime Factorization of 547


547 547
1

Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:

547 = 5471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 547 and 548.

LCM(547,548) = 22×1371×5471
LCM(547,548) = 299756

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1, 547

Factors of 548

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

1, 2, 4, 137, 274, 548

Least Common Multiple of 547 and 548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 547 and 548, than apply into the LCM equation.

GCF(547,548) = 1
LCM(547,548) = ( 547 × 548) / 1
LCM(547,548) = 299756 / 1
LCM(547,548) = 299756

Properties of LCM 547 and 548

(i) The LCM of 548 and 547 is associative

LCM of 547 and 548 = LCM of 548 and 547

Related Least Common Multiples of 547

Related Least Common Multiples of 548

Frequently Asked Questions on LCM of 547 and 548

1. What is the LCM of 547 and 548?

Answer: LCM of 547 and 548 is 299756.

2. What are the Factors of 547?

Answer: Factors of 547 are 1, 547. There are 2 integers that are factors of 547. The greatest factor of 547 is 547.

3. 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.

4. How to Find the LCM of 547 and 548?

Answer:

Least Common Multiple of 547 and 548 = 299756

Step 1: Find the prime factorization of 547

547 = 547

Step 2: Find the prime factorization of 548

548 = 2 x 2 x 137

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

LCM = 299756 = 2 x 2 x 137 x 547

Step 4: Therefore, the least common multiple of 547 and 548 is 299756.