Least Common Multiple of 548 and 552

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 552 the smallest integer that is 75624 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 552 is 75624.

LCM(548,552) = 75624

LCM of 548 and 552

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

LCM of:
and

Least Common Multiple of 548 and 552

LCM of 548 and 552 is 75624

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 552. First we will calculate the prime factors of 548 and 552.

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 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2, 3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 552.

LCM(548,552) = 23×31×231×1371
LCM(548,552) = 75624

Factors of 548

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

1, 2, 4, 137, 274, 548

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Least Common Multiple of 548 and 552 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 552, than apply into the LCM equation.

GCF(548,552) = 4
LCM(548,552) = ( 548 × 552) / 4
LCM(548,552) = 302496 / 4
LCM(548,552) = 75624

Properties of LCM 548 and 552

(i) The LCM of 552 and 548 is associative

LCM of 548 and 552 = LCM of 552 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 552

Frequently Asked Questions on LCM of 548 and 552

1. What is the LCM of 548 and 552?

Answer: LCM of 548 and 552 is 75624.

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 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

4. How to Find the LCM of 548 and 552?

Answer:

Least Common Multiple of 548 and 552 = 75624

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

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

LCM = 75624 = 2 x 2 x 2 x 3 x 23 x 137

Step 4: Therefore, the least common multiple of 548 and 552 is 75624.