Least Common Multiple of 53 and 59

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

• Least Common Multiple of 53 and 59 by Prime method
• Least Common Multiple of 53 and 59 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 53 and 59. First we will calculate the prime factors of 53 and 59.

Prime Factorization of 53

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

53 = 53¹

Prime Factorization of 59

Prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 59¹

Now multiplying the highest exponent prime factors to calculate the LCM of 53 and 59.

LCM(53,59) = 53¹×59¹
LCM(53,59) = 3127

Factors of 53

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

1, 53

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1, 59

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53 and 59, than apply into the LCM equation.

GCF(53,59) = 1
LCM(53,59) = ( 53 × 59) / 1
LCM(53,59) = 3127 / 1
LCM(53,59) = 3127

(i) The LCM of 59 and 53 is associative

LCM of 53 and 59 = LCM of 59 and 53

1. What is the LCM of 53 and 59?

Answer: LCM of 53 and 59 is 3127.

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 59?

Answer: Factors of 59 are 1, 59. There are 2 integers that are factors of 59. The greatest factor of 59 is 59.

4. How to Find the LCM of 53 and 59?

Answer:

Least Common Multiple of 53 and 59 = 3127

Step 1: Find the prime factorization of 53

53 = 53

Step 2: Find the prime factorization of 59

59 = 59

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

LCM = 3127 = 53 x 59

Step 4: Therefore, the least common multiple of 53 and 59 is 3127.