Least Common Multiple of 82380 and 82384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82380 and 82384 the smallest integer that is 1696698480 that is divisible by both numbers.

Least Common Multiple (LCM) of 82380 and 82384 is 1696698480.

LCM(82380,82384) = 1696698480

LCM of 82380 and 82384

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

LCM of:
and

Least Common Multiple of 82380 and 82384

LCM of 82380 and 82384 is 1696698480

Least common multiple can be found by multiplying the highest exponent prime factors of 82380 and 82384. First we will calculate the prime factors of 82380 and 82384.

Prime Factorization of 82380


2 82380
2 41190
3 20595
5 6865
1373 1373
1

Prime factors of 82380 are 2, 3, 5,1373. Prime factorization of 82380 in exponential form is:

82380 = 22×31×51×13731

Prime Factorization of 82384


2 82384
2 41192
2 20596
2 10298
19 5149
271 271
1

Prime factors of 82384 are 2, 19,271. Prime factorization of 82384 in exponential form is:

82384 = 24×191×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 82380 and 82384.

LCM(82380,82384) = 24×31×51×191×2711×13731
LCM(82380,82384) = 1696698480

Factors of 82380

List of positive integer factors of 82380 that divides 82380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1373, 2746, 4119, 5492, 6865, 8238, 13730, 16476, 20595, 27460, 41190, 82380

Factors of 82384

List of positive integer factors of 82384 that divides 82384 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 271, 304, 542, 1084, 2168, 4336, 5149, 10298, 20596, 41192, 82384

Least Common Multiple of 82380 and 82384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82380 and 82384, than apply into the LCM equation.

GCF(82380,82384) = 4
LCM(82380,82384) = ( 82380 × 82384) / 4
LCM(82380,82384) = 6786793920 / 4
LCM(82380,82384) = 1696698480

Properties of LCM 82380 and 82384

(i) The LCM of 82384 and 82380 is associative

LCM of 82380 and 82384 = LCM of 82384 and 82380

Related Least Common Multiples of 82380

Related Least Common Multiples of 82384

Frequently Asked Questions on LCM of 82380 and 82384

1. What is the LCM of 82380 and 82384?

Answer: LCM of 82380 and 82384 is 1696698480.

2. What are the Factors of 82380?

Answer: Factors of 82380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1373, 2746, 4119, 5492, 6865, 8238, 13730, 16476, 20595, 27460, 41190, 82380. There are 24 integers that are factors of 82380. The greatest factor of 82380 is 82380.

3. What are the Factors of 82384?

Answer: Factors of 82384 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 271, 304, 542, 1084, 2168, 4336, 5149, 10298, 20596, 41192, 82384. There are 20 integers that are factors of 82384. The greatest factor of 82384 is 82384.

4. How to Find the LCM of 82380 and 82384?

Answer:

Least Common Multiple of 82380 and 82384 = 1696698480

Step 1: Find the prime factorization of 82380

82380 = 2 x 2 x 3 x 5 x 1373

Step 2: Find the prime factorization of 82384

82384 = 2 x 2 x 2 x 2 x 19 x 271

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

LCM = 1696698480 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 271 x 1373

Step 4: Therefore, the least common multiple of 82380 and 82384 is 1696698480.