Least Common Multiple of 84340 and 84348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 84340 and 84348 the smallest integer that is 1778477580 that is divisible by both numbers.

Least Common Multiple (LCM) of 84340 and 84348 is 1778477580.

LCM(84340,84348) = 1778477580

LCM of 84340 and 84348

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

LCM of:
and

Least Common Multiple of 84340 and 84348

LCM of 84340 and 84348 is 1778477580

Least common multiple can be found by multiplying the highest exponent prime factors of 84340 and 84348. First we will calculate the prime factors of 84340 and 84348.

Prime Factorization of 84340


2 84340
2 42170
5 21085
4217 4217
1

Prime factors of 84340 are 2, 5,4217. Prime factorization of 84340 in exponential form is:

84340 = 22×51×42171

Prime Factorization of 84348


2 84348
2 42174
3 21087
3 7029
3 2343
11 781
71 71
1

Prime factors of 84348 are 2, 3, 11,71. Prime factorization of 84348 in exponential form is:

84348 = 22×33×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 84340 and 84348.

LCM(84340,84348) = 22×33×51×111×711×42171
LCM(84340,84348) = 1778477580

Factors of 84340

List of positive integer factors of 84340 that divides 84340 without a remainder.

1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170, 84340

Factors of 84348

List of positive integer factors of 84348 that divides 84348 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 71, 99, 108, 132, 142, 198, 213, 284, 297, 396, 426, 594, 639, 781, 852, 1188, 1278, 1562, 1917, 2343, 2556, 3124, 3834, 4686, 7029, 7668, 9372, 14058, 21087, 28116, 42174, 84348

Least Common Multiple of 84340 and 84348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84340 and 84348, than apply into the LCM equation.

GCF(84340,84348) = 4
LCM(84340,84348) = ( 84340 × 84348) / 4
LCM(84340,84348) = 7113910320 / 4
LCM(84340,84348) = 1778477580

Properties of LCM 84340 and 84348

(i) The LCM of 84348 and 84340 is associative

LCM of 84340 and 84348 = LCM of 84348 and 84340

Related Least Common Multiples of 84340

Related Least Common Multiples of 84348

Frequently Asked Questions on LCM of 84340 and 84348

1. What is the LCM of 84340 and 84348?

Answer: LCM of 84340 and 84348 is 1778477580.

2. What are the Factors of 84340?

Answer: Factors of 84340 are 1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170, 84340. There are 12 integers that are factors of 84340. The greatest factor of 84340 is 84340.

3. What are the Factors of 84348?

Answer: Factors of 84348 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 71, 99, 108, 132, 142, 198, 213, 284, 297, 396, 426, 594, 639, 781, 852, 1188, 1278, 1562, 1917, 2343, 2556, 3124, 3834, 4686, 7029, 7668, 9372, 14058, 21087, 28116, 42174, 84348. There are 48 integers that are factors of 84348. The greatest factor of 84348 is 84348.

4. How to Find the LCM of 84340 and 84348?

Answer:

Least Common Multiple of 84340 and 84348 = 1778477580

Step 1: Find the prime factorization of 84340

84340 = 2 x 2 x 5 x 4217

Step 2: Find the prime factorization of 84348

84348 = 2 x 2 x 3 x 3 x 3 x 11 x 71

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

LCM = 1778477580 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 71 x 4217

Step 4: Therefore, the least common multiple of 84340 and 84348 is 1778477580.