Least Common Multiple of 41 and 43

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

• Least Common Multiple of 41 and 43 by Prime method
• Least Common Multiple of 41 and 43 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 41 and 43. First we will calculate the prime factors of 41 and 43.

Prime Factorization of 41

Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 41¹

Prime Factorization of 43

Prime factors of 43 are 43. Prime factorization of 43 in exponential form is:

43 = 43¹

Now multiplying the highest exponent prime factors to calculate the LCM of 41 and 43.

LCM(41,43) = 41¹×43¹
LCM(41,43) = 1763

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1, 41

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1, 43

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41 and 43, than apply into the LCM equation.

GCF(41,43) = 1
LCM(41,43) = ( 41 × 43) / 1
LCM(41,43) = 1763 / 1
LCM(41,43) = 1763

(i) The LCM of 43 and 41 is associative

LCM of 41 and 43 = LCM of 43 and 41

1. What is the LCM of 41 and 43?

Answer: LCM of 41 and 43 is 1763.

2. What are the Factors of 41?

Answer: Factors of 41 are 1, 41. There are 2 integers that are factors of 41. The greatest factor of 41 is 41.

3. What are the Factors of 43?

Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.

4. How to Find the LCM of 41 and 43?

Answer:

Least Common Multiple of 41 and 43 = 1763

Step 1: Find the prime factorization of 41

41 = 41

Step 2: Find the prime factorization of 43

43 = 43

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

LCM = 1763 = 41 x 43

Step 4: Therefore, the least common multiple of 41 and 43 is 1763.