Least Common Multiple of 47356 and 47361

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

• Least Common Multiple of 47356 and 47361 by Prime method
• Least Common Multiple of 47356 and 47361 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47356 and 47361. First we will calculate the prime factors of 47356 and 47361.

Prime Factorization of 47356

Prime factors of 47356 are 2,11839. Prime factorization of 47356 in exponential form is:

47356 = 2²×11839¹

Prime Factorization of 47361

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

47361 = 3¹×15787¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47356 and 47361.

LCM(47356,47361) = 2²×3¹×11839¹×15787¹
LCM(47356,47361) = 2242827516

Factors of 47356

List of positive integer factors of 47356 that divides 47356 without a remainder.

1, 2, 4, 11839, 23678, 47356

Factors of 47361

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

1, 3, 15787, 47361

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47356 and 47361, than apply into the LCM equation.

GCF(47356,47361) = 1
LCM(47356,47361) = ( 47356 × 47361) / 1
LCM(47356,47361) = 2242827516 / 1
LCM(47356,47361) = 2242827516

(i) The LCM of 47361 and 47356 is associative

LCM of 47356 and 47361 = LCM of 47361 and 47356

1. What is the LCM of 47356 and 47361?

Answer: LCM of 47356 and 47361 is 2242827516.

2. What are the Factors of 47356?

Answer: Factors of 47356 are 1, 2, 4, 11839, 23678, 47356. There are 6 integers that are factors of 47356. The greatest factor of 47356 is 47356.

3. 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.

4. How to Find the LCM of 47356 and 47361?

Answer:

Least Common Multiple of 47356 and 47361 = 2242827516

Step 1: Find the prime factorization of 47356

47356 = 2 x 2 x 11839

Step 2: Find the prime factorization of 47361

47361 = 3 x 15787

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

LCM = 2242827516 = 2 x 2 x 3 x 11839 x 15787

Step 4: Therefore, the least common multiple of 47356 and 47361 is 2242827516.