Least Common Multiple of 47366 and 47371

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

• Least Common Multiple of 47366 and 47371 by Prime method
• Least Common Multiple of 47366 and 47371 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47366 and 47371. First we will calculate the prime factors of 47366 and 47371.

Prime Factorization of 47366

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

47366 = 2¹×11¹×2153¹

Prime Factorization of 47371

Prime factors of 47371 are 127,373. Prime factorization of 47371 in exponential form is:

47371 = 127¹×373¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47366 and 47371.

LCM(47366,47371) = 2¹×11¹×127¹×373¹×2153¹
LCM(47366,47371) = 2243774786

Factors of 47366

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

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

Factors of 47371

List of positive integer factors of 47371 that divides 47371 without a remainder.

1, 127, 373, 47371

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47366 and 47371, than apply into the LCM equation.

GCF(47366,47371) = 1
LCM(47366,47371) = ( 47366 × 47371) / 1
LCM(47366,47371) = 2243774786 / 1
LCM(47366,47371) = 2243774786

(i) The LCM of 47371 and 47366 is associative

LCM of 47366 and 47371 = LCM of 47371 and 47366

1. What is the LCM of 47366 and 47371?

Answer: LCM of 47366 and 47371 is 2243774786.

2. 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.

3. What are the Factors of 47371?

Answer: Factors of 47371 are 1, 127, 373, 47371. There are 4 integers that are factors of 47371. The greatest factor of 47371 is 47371.

4. How to Find the LCM of 47366 and 47371?

Answer:

Least Common Multiple of 47366 and 47371 = 2243774786

Step 1: Find the prime factorization of 47366

47366 = 2 x 11 x 2153

Step 2: Find the prime factorization of 47371

47371 = 127 x 373

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

LCM = 2243774786 = 2 x 11 x 127 x 373 x 2153

Step 4: Therefore, the least common multiple of 47366 and 47371 is 2243774786.