Least Common Multiple of 47325 and 47330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47325 and 47330 the smallest integer that is 447978450 that is divisible by both numbers.

Least Common Multiple (LCM) of 47325 and 47330 is 447978450.

LCM(47325,47330) = 447978450

LCM of 47325 and 47330

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

LCM of:
and

Least Common Multiple of 47325 and 47330

LCM of 47325 and 47330 is 447978450

Least common multiple can be found by multiplying the highest exponent prime factors of 47325 and 47330. First we will calculate the prime factors of 47325 and 47330.

Prime Factorization of 47325


3 47325
5 15775
5 3155
631 631
1

Prime factors of 47325 are 3, 5,631. Prime factorization of 47325 in exponential form is:

47325 = 31×52×6311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 47325 and 47330.

LCM(47325,47330) = 21×31×52×6311×47331
LCM(47325,47330) = 447978450

Factors of 47325

List of positive integer factors of 47325 that divides 47325 without a remainder.

1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325

Factors of 47330

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

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

Least Common Multiple of 47325 and 47330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47325 and 47330, than apply into the LCM equation.

GCF(47325,47330) = 5
LCM(47325,47330) = ( 47325 × 47330) / 5
LCM(47325,47330) = 2239892250 / 5
LCM(47325,47330) = 447978450

Properties of LCM 47325 and 47330

(i) The LCM of 47330 and 47325 is associative

LCM of 47325 and 47330 = LCM of 47330 and 47325

Related Least Common Multiples of 47325

Related Least Common Multiples of 47330

Frequently Asked Questions on LCM of 47325 and 47330

1. What is the LCM of 47325 and 47330?

Answer: LCM of 47325 and 47330 is 447978450.

2. What are the Factors of 47325?

Answer: Factors of 47325 are 1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325. There are 12 integers that are factors of 47325. The greatest factor of 47325 is 47325.

3. 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.

4. How to Find the LCM of 47325 and 47330?

Answer:

Least Common Multiple of 47325 and 47330 = 447978450

Step 1: Find the prime factorization of 47325

47325 = 3 x 5 x 5 x 631

Step 2: Find the prime factorization of 47330

47330 = 2 x 5 x 4733

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

LCM = 447978450 = 2 x 3 x 5 x 5 x 631 x 4733

Step 4: Therefore, the least common multiple of 47325 and 47330 is 447978450.