Least Common Multiple of 47322 and 47328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47322 and 47328 the smallest integer that is 373275936 that is divisible by both numbers.

Least Common Multiple (LCM) of 47322 and 47328 is 373275936.

LCM(47322,47328) = 373275936

LCM of 47322 and 47328

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

LCM of:
and

Least Common Multiple of 47322 and 47328

LCM of 47322 and 47328 is 373275936

Least common multiple can be found by multiplying the highest exponent prime factors of 47322 and 47328. First we will calculate the prime factors of 47322 and 47328.

Prime Factorization of 47322


2 47322
3 23661
3 7887
11 2629
239 239
1

Prime factors of 47322 are 2, 3, 11,239. Prime factorization of 47322 in exponential form is:

47322 = 21×32×111×2391

Prime Factorization of 47328


2 47328
2 23664
2 11832
2 5916
2 2958
3 1479
17 493
29 29
1

Prime factors of 47328 are 2, 3, 17,29. Prime factorization of 47328 in exponential form is:

47328 = 25×31×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 47322 and 47328.

LCM(47322,47328) = 25×32×111×171×291×2391
LCM(47322,47328) = 373275936

Factors of 47322

List of positive integer factors of 47322 that divides 47322 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322

Factors of 47328

List of positive integer factors of 47328 that divides 47328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 29, 32, 34, 48, 51, 58, 68, 87, 96, 102, 116, 136, 174, 204, 232, 272, 348, 408, 464, 493, 544, 696, 816, 928, 986, 1392, 1479, 1632, 1972, 2784, 2958, 3944, 5916, 7888, 11832, 15776, 23664, 47328

Least Common Multiple of 47322 and 47328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47322 and 47328, than apply into the LCM equation.

GCF(47322,47328) = 6
LCM(47322,47328) = ( 47322 × 47328) / 6
LCM(47322,47328) = 2239655616 / 6
LCM(47322,47328) = 373275936

Properties of LCM 47322 and 47328

(i) The LCM of 47328 and 47322 is associative

LCM of 47322 and 47328 = LCM of 47328 and 47322

Related Least Common Multiples of 47322

Related Least Common Multiples of 47328

Frequently Asked Questions on LCM of 47322 and 47328

1. What is the LCM of 47322 and 47328?

Answer: LCM of 47322 and 47328 is 373275936.

2. What are the Factors of 47322?

Answer: Factors of 47322 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322. There are 24 integers that are factors of 47322. The greatest factor of 47322 is 47322.

3. What are the Factors of 47328?

Answer: Factors of 47328 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 29, 32, 34, 48, 51, 58, 68, 87, 96, 102, 116, 136, 174, 204, 232, 272, 348, 408, 464, 493, 544, 696, 816, 928, 986, 1392, 1479, 1632, 1972, 2784, 2958, 3944, 5916, 7888, 11832, 15776, 23664, 47328. There are 48 integers that are factors of 47328. The greatest factor of 47328 is 47328.

4. How to Find the LCM of 47322 and 47328?

Answer:

Least Common Multiple of 47322 and 47328 = 373275936

Step 1: Find the prime factorization of 47322

47322 = 2 x 3 x 3 x 11 x 239

Step 2: Find the prime factorization of 47328

47328 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 29

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

LCM = 373275936 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 29 x 239

Step 4: Therefore, the least common multiple of 47322 and 47328 is 373275936.