Least Common Multiple of 53 and 55

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

• Least Common Multiple of 53 and 55 by Prime method
• Least Common Multiple of 53 and 55 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 53 and 55. First we will calculate the prime factors of 53 and 55.

Prime Factorization of 53

Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 53¹

Prime Factorization of 55

Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:

55 = 5¹×11¹

Now multiplying the highest exponent prime factors to calculate the LCM of 53 and 55.

LCM(53,55) = 5¹×11¹×53¹
LCM(53,55) = 2915

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1, 53

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1, 5, 11, 55

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53 and 55, than apply into the LCM equation.

GCF(53,55) = 1
LCM(53,55) = ( 53 × 55) / 1
LCM(53,55) = 2915 / 1
LCM(53,55) = 2915

(i) The LCM of 55 and 53 is associative

LCM of 53 and 55 = LCM of 55 and 53

1. What is the LCM of 53 and 55?

Answer: LCM of 53 and 55 is 2915.

2. What are the Factors of 53?

Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.

3. What are the Factors of 55?

Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.

4. How to Find the LCM of 53 and 55?

Answer:

Least Common Multiple of 53 and 55 = 2915

Step 1: Find the prime factorization of 53

53 = 53

Step 2: Find the prime factorization of 55

55 = 5 x 11

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

LCM = 2915 = 5 x 11 x 53

Step 4: Therefore, the least common multiple of 53 and 55 is 2915.