Least Common Multiple of 47340 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 47340 and 47348 the smallest integer that is 560363580 that is divisible by both numbers.

Least Common Multiple (LCM) of 47340 and 47348 is 560363580.

LCM(47340,47348) = 560363580

LCM of 47340 and 47348

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

LCM of:
and

Least Common Multiple of 47340 and 47348

LCM of 47340 and 47348 is 560363580

Least common multiple can be found by multiplying the highest exponent prime factors of 47340 and 47348. First we will calculate the prime factors of 47340 and 47348.

Prime Factorization of 47340


2 47340
2 23670
3 11835
3 3945
5 1315
263 263
1

Prime factors of 47340 are 2, 3, 5,263. Prime factorization of 47340 in exponential form is:

47340 = 22×32×51×2631

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 47340 and 47348.

LCM(47340,47348) = 22×32×51×71×191×891×2631
LCM(47340,47348) = 560363580

Factors of 47340

List of positive integer factors of 47340 that divides 47340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 263, 526, 789, 1052, 1315, 1578, 2367, 2630, 3156, 3945, 4734, 5260, 7890, 9468, 11835, 15780, 23670, 47340

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 47340 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 47340 and 47348, than apply into the LCM equation.

GCF(47340,47348) = 4
LCM(47340,47348) = ( 47340 × 47348) / 4
LCM(47340,47348) = 2241454320 / 4
LCM(47340,47348) = 560363580

Properties of LCM 47340 and 47348

(i) The LCM of 47348 and 47340 is associative

LCM of 47340 and 47348 = LCM of 47348 and 47340

Related Least Common Multiples of 47340

Related Least Common Multiples of 47348

Frequently Asked Questions on LCM of 47340 and 47348

1. What is the LCM of 47340 and 47348?

Answer: LCM of 47340 and 47348 is 560363580.

2. What are the Factors of 47340?

Answer: Factors of 47340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 263, 526, 789, 1052, 1315, 1578, 2367, 2630, 3156, 3945, 4734, 5260, 7890, 9468, 11835, 15780, 23670, 47340. There are 36 integers that are factors of 47340. The greatest factor of 47340 is 47340.

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 47340 and 47348?

Answer:

Least Common Multiple of 47340 and 47348 = 560363580

Step 1: Find the prime factorization of 47340

47340 = 2 x 2 x 3 x 3 x 5 x 263

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 = 560363580 = 2 x 2 x 3 x 3 x 5 x 7 x 19 x 89 x 263

Step 4: Therefore, the least common multiple of 47340 and 47348 is 560363580.