Least Common Multiple of 47336 and 47343

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

• Least Common Multiple of 47336 and 47343 by Prime method
• Least Common Multiple of 47336 and 47343 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47336 and 47343. First we will calculate the prime factors of 47336 and 47343.

Prime Factorization of 47336

Prime factors of 47336 are 2, 61,97. Prime factorization of 47336 in exponential form is:

47336 = 2³×61¹×97¹

Prime Factorization of 47343

Prime factors of 47343 are 3, 43,367. Prime factorization of 47343 in exponential form is:

47343 = 3¹×43¹×367¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47336 and 47343.

LCM(47336,47343) = 2³×3¹×43¹×61¹×97¹×367¹
LCM(47336,47343) = 2241028248

Factors of 47336

List of positive integer factors of 47336 that divides 47336 without a remainder.

1, 2, 4, 8, 61, 97, 122, 194, 244, 388, 488, 776, 5917, 11834, 23668, 47336

Factors of 47343

List of positive integer factors of 47343 that divides 47343 without a remainder.

1, 3, 43, 129, 367, 1101, 15781, 47343

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47336 and 47343, than apply into the LCM equation.

GCF(47336,47343) = 1
LCM(47336,47343) = ( 47336 × 47343) / 1
LCM(47336,47343) = 2241028248 / 1
LCM(47336,47343) = 2241028248

(i) The LCM of 47343 and 47336 is associative

LCM of 47336 and 47343 = LCM of 47343 and 47336

1. What is the LCM of 47336 and 47343?

Answer: LCM of 47336 and 47343 is 2241028248.

2. What are the Factors of 47336?

Answer: Factors of 47336 are 1, 2, 4, 8, 61, 97, 122, 194, 244, 388, 488, 776, 5917, 11834, 23668, 47336. There are 16 integers that are factors of 47336. The greatest factor of 47336 is 47336.

3. What are the Factors of 47343?

Answer: Factors of 47343 are 1, 3, 43, 129, 367, 1101, 15781, 47343. There are 8 integers that are factors of 47343. The greatest factor of 47343 is 47343.

4. How to Find the LCM of 47336 and 47343?

Answer:

Least Common Multiple of 47336 and 47343 = 2241028248

Step 1: Find the prime factorization of 47336

47336 = 2 x 2 x 2 x 61 x 97

Step 2: Find the prime factorization of 47343

47343 = 3 x 43 x 367

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

LCM = 2241028248 = 2 x 2 x 2 x 3 x 43 x 61 x 97 x 367

Step 4: Therefore, the least common multiple of 47336 and 47343 is 2241028248.