Least Common Multiple of 47330 and 47336

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 47336 the smallest integer that is 1120206440 that is divisible by both numbers.

Least Common Multiple (LCM) of 47330 and 47336 is 1120206440.

LCM(47330,47336) = 1120206440

LCM of 47330 and 47336

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

LCM of:
and

Least Common Multiple of 47330 and 47336

LCM of 47330 and 47336 is 1120206440

Least common multiple can be found by multiplying the highest exponent prime factors of 47330 and 47336. First we will calculate the prime factors of 47330 and 47336.

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 47336


2 47336
2 23668
2 11834
61 5917
97 97
1

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

47336 = 23×611×971

Now multiplying the highest exponent prime factors to calculate the LCM of 47330 and 47336.

LCM(47330,47336) = 23×51×611×971×47331
LCM(47330,47336) = 1120206440

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 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

Least Common Multiple of 47330 and 47336 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 47336, than apply into the LCM equation.

GCF(47330,47336) = 2
LCM(47330,47336) = ( 47330 × 47336) / 2
LCM(47330,47336) = 2240412880 / 2
LCM(47330,47336) = 1120206440

Properties of LCM 47330 and 47336

(i) The LCM of 47336 and 47330 is associative

LCM of 47330 and 47336 = LCM of 47336 and 47330

Related Least Common Multiples of 47330

Related Least Common Multiples of 47336

Frequently Asked Questions on LCM of 47330 and 47336

1. What is the LCM of 47330 and 47336?

Answer: LCM of 47330 and 47336 is 1120206440.

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 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.

4. How to Find the LCM of 47330 and 47336?

Answer:

Least Common Multiple of 47330 and 47336 = 1120206440

Step 1: Find the prime factorization of 47330

47330 = 2 x 5 x 4733

Step 2: Find the prime factorization of 47336

47336 = 2 x 2 x 2 x 61 x 97

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

LCM = 1120206440 = 2 x 2 x 2 x 5 x 61 x 97 x 4733

Step 4: Therefore, the least common multiple of 47330 and 47336 is 1120206440.