Least Common Multiple of 548 and 553

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 553 the smallest integer that is 303044 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 553 is 303044.

LCM(548,553) = 303044

LCM of 548 and 553

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

LCM of:
and

Least Common Multiple of 548 and 553

LCM of 548 and 553 is 303044

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 553. First we will calculate the prime factors of 548 and 553.

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 553


7 553
79 79
1

Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:

553 = 71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 553.

LCM(548,553) = 22×71×791×1371
LCM(548,553) = 303044

Factors of 548

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

1, 2, 4, 137, 274, 548

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Least Common Multiple of 548 and 553 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 553, than apply into the LCM equation.

GCF(548,553) = 1
LCM(548,553) = ( 548 × 553) / 1
LCM(548,553) = 303044 / 1
LCM(548,553) = 303044

Properties of LCM 548 and 553

(i) The LCM of 553 and 548 is associative

LCM of 548 and 553 = LCM of 553 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 553

Frequently Asked Questions on LCM of 548 and 553

1. What is the LCM of 548 and 553?

Answer: LCM of 548 and 553 is 303044.

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 553?

Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.

4. How to Find the LCM of 548 and 553?

Answer:

Least Common Multiple of 548 and 553 = 303044

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 553

553 = 7 x 79

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

LCM = 303044 = 2 x 2 x 7 x 79 x 137

Step 4: Therefore, the least common multiple of 548 and 553 is 303044.