Least Common Multiple of 47361 and 47366

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

• Least Common Multiple of 47361 and 47366 by Prime method
• Least Common Multiple of 47361 and 47366 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47361 and 47366. First we will calculate the prime factors of 47361 and 47366.

Prime Factorization of 47361

Prime factors of 47361 are 3,15787. Prime factorization of 47361 in exponential form is:

47361 = 3¹×15787¹

Prime Factorization of 47366

Prime factors of 47366 are 2, 11,2153. Prime factorization of 47366 in exponential form is:

47366 = 2¹×11¹×2153¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47361 and 47366.

LCM(47361,47366) = 2¹×3¹×11¹×2153¹×15787¹
LCM(47361,47366) = 2243301126

Factors of 47361

List of positive integer factors of 47361 that divides 47361 without a remainder.

1, 3, 15787, 47361

Factors of 47366

List of positive integer factors of 47366 that divides 47366 without a remainder.

1, 2, 11, 22, 2153, 4306, 23683, 47366

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47361 and 47366, than apply into the LCM equation.

GCF(47361,47366) = 1
LCM(47361,47366) = ( 47361 × 47366) / 1
LCM(47361,47366) = 2243301126 / 1
LCM(47361,47366) = 2243301126

(i) The LCM of 47366 and 47361 is associative

LCM of 47361 and 47366 = LCM of 47366 and 47361

1. What is the LCM of 47361 and 47366?

Answer: LCM of 47361 and 47366 is 2243301126.

2. What are the Factors of 47361?

Answer: Factors of 47361 are 1, 3, 15787, 47361. There are 4 integers that are factors of 47361. The greatest factor of 47361 is 47361.

3. What are the Factors of 47366?

Answer: Factors of 47366 are 1, 2, 11, 22, 2153, 4306, 23683, 47366. There are 8 integers that are factors of 47366. The greatest factor of 47366 is 47366.

4. How to Find the LCM of 47361 and 47366?

Answer:

Least Common Multiple of 47361 and 47366 = 2243301126

Step 1: Find the prime factorization of 47361

47361 = 3 x 15787

Step 2: Find the prime factorization of 47366

47366 = 2 x 11 x 2153

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

LCM = 2243301126 = 2 x 3 x 11 x 2153 x 15787

Step 4: Therefore, the least common multiple of 47361 and 47366 is 2243301126.