Least Common Multiple of 47330 and 47334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47330 and 47334 the smallest integer that is 1120159110 that is divisible by both numbers.

Least Common Multiple (LCM) of 47330 and 47334 is 1120159110.

LCM(47330,47334) = 1120159110

LCM of 47330 and 47334

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

LCM of:
and

Least Common Multiple of 47330 and 47334

LCM of 47330 and 47334 is 1120159110

Least common multiple can be found by multiplying the highest exponent prime factors of 47330 and 47334. First we will calculate the prime factors of 47330 and 47334.

Prime Factorization of 47330


2 47330
5 23665
4733 4733
1

Prime factors of 47330 are 2, 5,4733. Prime factorization of 47330 in exponential form is:

47330 = 21×51×47331

Prime Factorization of 47334


2 47334
3 23667
7 7889
7 1127
7 161
23 23
1

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

47334 = 21×31×73×231

Now multiplying the highest exponent prime factors to calculate the LCM of 47330 and 47334.

LCM(47330,47334) = 21×31×51×73×231×47331
LCM(47330,47334) = 1120159110

Factors of 47330

List of positive integer factors of 47330 that divides 47330 without a remainder.

1, 2, 5, 10, 4733, 9466, 23665, 47330

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

Least Common Multiple of 47330 and 47334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47330 and 47334, than apply into the LCM equation.

GCF(47330,47334) = 2
LCM(47330,47334) = ( 47330 × 47334) / 2
LCM(47330,47334) = 2240318220 / 2
LCM(47330,47334) = 1120159110

Properties of LCM 47330 and 47334

(i) The LCM of 47334 and 47330 is associative

LCM of 47330 and 47334 = LCM of 47334 and 47330

Related Least Common Multiples of 47330

Related Least Common Multiples of 47334

Frequently Asked Questions on LCM of 47330 and 47334

1. What is the LCM of 47330 and 47334?

Answer: LCM of 47330 and 47334 is 1120159110.

2. What are the Factors of 47330?

Answer: Factors of 47330 are 1, 2, 5, 10, 4733, 9466, 23665, 47330. There are 8 integers that are factors of 47330. The greatest factor of 47330 is 47330.

3. 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.

4. How to Find the LCM of 47330 and 47334?

Answer:

Least Common Multiple of 47330 and 47334 = 1120159110

Step 1: Find the prime factorization of 47330

47330 = 2 x 5 x 4733

Step 2: Find the prime factorization of 47334

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

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

LCM = 1120159110 = 2 x 3 x 5 x 7 x 7 x 7 x 23 x 4733

Step 4: Therefore, the least common multiple of 47330 and 47334 is 1120159110.