Least Common Multiple of 39 and 43

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

• Least Common Multiple of 39 and 43 by Prime method
• Least Common Multiple of 39 and 43 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39 and 43. First we will calculate the prime factors of 39 and 43.

Prime Factorization of 39

Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:

39 = 3¹×13¹

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 39 and 43.

LCM(39,43) = 3¹×13¹×43¹
LCM(39,43) = 1677

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 39 and 43, than apply into the LCM equation.

GCF(39,43) = 1
LCM(39,43) = ( 39 × 43) / 1
LCM(39,43) = 1677 / 1
LCM(39,43) = 1677

(i) The LCM of 43 and 39 is associative

LCM of 39 and 43 = LCM of 43 and 39

1. What is the LCM of 39 and 43?

Answer: LCM of 39 and 43 is 1677.

2. What are the Factors of 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

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 39 and 43?

Answer:

Least Common Multiple of 39 and 43 = 1677

Step 1: Find the prime factorization of 39

39 = 3 x 13

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 = 1677 = 3 x 13 x 43

Step 4: Therefore, the least common multiple of 39 and 43 is 1677.