Least Common Multiple of 47334 and 47339

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

• Least Common Multiple of 47334 and 47339 by Prime method
• Least Common Multiple of 47334 and 47339 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47334 and 47339. First we will calculate the prime factors of 47334 and 47339.

Prime Factorization of 47334

Prime factors of 47334 are 2, 3, 7,23. Prime factorization of 47334 in exponential form is:

47334 = 2¹×3¹×7³×23¹

Prime Factorization of 47339

Prime factors of 47339 are 47339. Prime factorization of 47339 in exponential form is:

47339 = 47339¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47334 and 47339.

LCM(47334,47339) = 2¹×3¹×7³×23¹×47339¹
LCM(47334,47339) = 2240744226

Factors of 47334

List of positive integer factors of 47334 that divides 47334 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667, 47334

Factors of 47339

List of positive integer factors of 47339 that divides 47339 without a remainder.

1, 47339

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47334 and 47339, than apply into the LCM equation.

GCF(47334,47339) = 1
LCM(47334,47339) = ( 47334 × 47339) / 1
LCM(47334,47339) = 2240744226 / 1
LCM(47334,47339) = 2240744226

(i) The LCM of 47339 and 47334 is associative

LCM of 47334 and 47339 = LCM of 47339 and 47334

1. What is the LCM of 47334 and 47339?

Answer: LCM of 47334 and 47339 is 2240744226.

2. What are the Factors of 47334?

Answer: Factors of 47334 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667, 47334. There are 32 integers that are factors of 47334. The greatest factor of 47334 is 47334.

3. What are the Factors of 47339?

Answer: Factors of 47339 are 1, 47339. There are 2 integers that are factors of 47339. The greatest factor of 47339 is 47339.

4. How to Find the LCM of 47334 and 47339?

Answer:

Least Common Multiple of 47334 and 47339 = 2240744226

Step 1: Find the prime factorization of 47334

47334 = 2 x 3 x 7 x 7 x 7 x 23

Step 2: Find the prime factorization of 47339

47339 = 47339

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

LCM = 2240744226 = 2 x 3 x 7 x 7 x 7 x 23 x 47339

Step 4: Therefore, the least common multiple of 47334 and 47339 is 2240744226.