Least Common Multiple of 47343 and 47348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47343 and 47348 the smallest integer that is 2241596364 that is divisible by both numbers.

Least Common Multiple (LCM) of 47343 and 47348 is 2241596364.

LCM(47343,47348) = 2241596364

LCM of 47343 and 47348

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

LCM of:
and

Least Common Multiple of 47343 and 47348

LCM of 47343 and 47348 is 2241596364

Least common multiple can be found by multiplying the highest exponent prime factors of 47343 and 47348. First we will calculate the prime factors of 47343 and 47348.

Prime Factorization of 47343


3 47343
43 15781
367 367
1

Prime factors of 47343 are 3, 43,367. Prime factorization of 47343 in exponential form is:

47343 = 31×431×3671

Prime Factorization of 47348


2 47348
2 23674
7 11837
19 1691
89 89
1

Prime factors of 47348 are 2, 7, 19,89. Prime factorization of 47348 in exponential form is:

47348 = 22×71×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 47343 and 47348.

LCM(47343,47348) = 22×31×71×191×431×891×3671
LCM(47343,47348) = 2241596364

Factors of 47343

List of positive integer factors of 47343 that divides 47343 without a remainder.

1, 3, 43, 129, 367, 1101, 15781, 47343

Factors of 47348

List of positive integer factors of 47348 that divides 47348 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 89, 133, 178, 266, 356, 532, 623, 1246, 1691, 2492, 3382, 6764, 11837, 23674, 47348

Least Common Multiple of 47343 and 47348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47343 and 47348, than apply into the LCM equation.

GCF(47343,47348) = 1
LCM(47343,47348) = ( 47343 × 47348) / 1
LCM(47343,47348) = 2241596364 / 1
LCM(47343,47348) = 2241596364

Properties of LCM 47343 and 47348

(i) The LCM of 47348 and 47343 is associative

LCM of 47343 and 47348 = LCM of 47348 and 47343

Related Least Common Multiples of 47343

Related Least Common Multiples of 47348

Frequently Asked Questions on LCM of 47343 and 47348

1. What is the LCM of 47343 and 47348?

Answer: LCM of 47343 and 47348 is 2241596364.

2. What are the Factors of 47343?

Answer: Factors of 47343 are 1, 3, 43, 129, 367, 1101, 15781, 47343. There are 8 integers that are factors of 47343. The greatest factor of 47343 is 47343.

3. What are the Factors of 47348?

Answer: Factors of 47348 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 89, 133, 178, 266, 356, 532, 623, 1246, 1691, 2492, 3382, 6764, 11837, 23674, 47348. There are 24 integers that are factors of 47348. The greatest factor of 47348 is 47348.

4. How to Find the LCM of 47343 and 47348?

Answer:

Least Common Multiple of 47343 and 47348 = 2241596364

Step 1: Find the prime factorization of 47343

47343 = 3 x 43 x 367

Step 2: Find the prime factorization of 47348

47348 = 2 x 2 x 7 x 19 x 89

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

LCM = 2241596364 = 2 x 2 x 3 x 7 x 19 x 43 x 89 x 367

Step 4: Therefore, the least common multiple of 47343 and 47348 is 2241596364.