Least Common Multiple of 43059 and 43061

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

• Least Common Multiple of 43059 and 43061 by Prime method
• Least Common Multiple of 43059 and 43061 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 43059 and 43061. First we will calculate the prime factors of 43059 and 43061.

Prime Factorization of 43059

Prime factors of 43059 are 3, 31,463. Prime factorization of 43059 in exponential form is:

43059 = 3¹×31¹×463¹

Prime Factorization of 43061

Prime factors of 43061 are 17,149. Prime factorization of 43061 in exponential form is:

43061 = 17²×149¹

Now multiplying the highest exponent prime factors to calculate the LCM of 43059 and 43061.

LCM(43059,43061) = 3¹×17²×31¹×149¹×463¹
LCM(43059,43061) = 1854163599

Factors of 43059

List of positive integer factors of 43059 that divides 43059 without a remainder.

1, 3, 31, 93, 463, 1389, 14353, 43059

Factors of 43061

List of positive integer factors of 43061 that divides 43061 without a remainder.

1, 17, 149, 289, 2533, 43061

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43059 and 43061, than apply into the LCM equation.

GCF(43059,43061) = 1
LCM(43059,43061) = ( 43059 × 43061) / 1
LCM(43059,43061) = 1854163599 / 1
LCM(43059,43061) = 1854163599

(i) The LCM of 43061 and 43059 is associative

LCM of 43059 and 43061 = LCM of 43061 and 43059

1. What is the LCM of 43059 and 43061?

Answer: LCM of 43059 and 43061 is 1854163599.

2. What are the Factors of 43059?

Answer: Factors of 43059 are 1, 3, 31, 93, 463, 1389, 14353, 43059. There are 8 integers that are factors of 43059. The greatest factor of 43059 is 43059.

3. What are the Factors of 43061?

Answer: Factors of 43061 are 1, 17, 149, 289, 2533, 43061. There are 6 integers that are factors of 43061. The greatest factor of 43061 is 43061.

4. How to Find the LCM of 43059 and 43061?

Answer:

Least Common Multiple of 43059 and 43061 = 1854163599

Step 1: Find the prime factorization of 43059

43059 = 3 x 31 x 463

Step 2: Find the prime factorization of 43061

43061 = 17 x 17 x 149

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

LCM = 1854163599 = 3 x 17 x 17 x 31 x 149 x 463

Step 4: Therefore, the least common multiple of 43059 and 43061 is 1854163599.