Least Common Multiple of 47 and 53

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

• Least Common Multiple of 47 and 53 by Prime method
• Least Common Multiple of 47 and 53 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47 and 53. First we will calculate the prime factors of 47 and 53.

Prime Factorization of 47

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 47¹

Prime Factorization of 53

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

53 = 53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47 and 53.

LCM(47,53) = 47¹×53¹
LCM(47,53) = 2491

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1, 47

Factors of 53

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

1, 53

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47 and 53, than apply into the LCM equation.

GCF(47,53) = 1
LCM(47,53) = ( 47 × 53) / 1
LCM(47,53) = 2491 / 1
LCM(47,53) = 2491

(i) The LCM of 53 and 47 is associative

LCM of 47 and 53 = LCM of 53 and 47

1. What is the LCM of 47 and 53?

Answer: LCM of 47 and 53 is 2491.

2. What are the Factors of 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

3. 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.

4. How to Find the LCM of 47 and 53?

Answer:

Least Common Multiple of 47 and 53 = 2491

Step 1: Find the prime factorization of 47

47 = 47

Step 2: Find the prime factorization of 53

53 = 53

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

LCM = 2491 = 47 x 53

Step 4: Therefore, the least common multiple of 47 and 53 is 2491.