Least Common Multiple of 82376 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 82376 and 82384 the smallest integer that is 848308048 that is divisible by both numbers.

Least Common Multiple (LCM) of 82376 and 82384 is 848308048.

LCM(82376,82384) = 848308048

LCM of 82376 and 82384

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

LCM of:
and

Least Common Multiple of 82376 and 82384

LCM of 82376 and 82384 is 848308048

Least common multiple can be found by multiplying the highest exponent prime factors of 82376 and 82384. First we will calculate the prime factors of 82376 and 82384.

Prime Factorization of 82376


2 82376
2 41188
2 20594
7 10297
1471 1471
1

Prime factors of 82376 are 2, 7,1471. Prime factorization of 82376 in exponential form is:

82376 = 23×71×14711

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 82376 and 82384.

LCM(82376,82384) = 24×71×191×2711×14711
LCM(82376,82384) = 848308048

Factors of 82376

List of positive integer factors of 82376 that divides 82376 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1471, 2942, 5884, 10297, 11768, 20594, 41188, 82376

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 82376 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 82376 and 82384, than apply into the LCM equation.

GCF(82376,82384) = 8
LCM(82376,82384) = ( 82376 × 82384) / 8
LCM(82376,82384) = 6786464384 / 8
LCM(82376,82384) = 848308048

Properties of LCM 82376 and 82384

(i) The LCM of 82384 and 82376 is associative

LCM of 82376 and 82384 = LCM of 82384 and 82376

Related Least Common Multiples of 82376

Related Least Common Multiples of 82384

Frequently Asked Questions on LCM of 82376 and 82384

1. What is the LCM of 82376 and 82384?

Answer: LCM of 82376 and 82384 is 848308048.

2. What are the Factors of 82376?

Answer: Factors of 82376 are 1, 2, 4, 7, 8, 14, 28, 56, 1471, 2942, 5884, 10297, 11768, 20594, 41188, 82376. There are 16 integers that are factors of 82376. The greatest factor of 82376 is 82376.

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 82376 and 82384?

Answer:

Least Common Multiple of 82376 and 82384 = 848308048

Step 1: Find the prime factorization of 82376

82376 = 2 x 2 x 2 x 7 x 1471

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 = 848308048 = 2 x 2 x 2 x 2 x 7 x 19 x 271 x 1471

Step 4: Therefore, the least common multiple of 82376 and 82384 is 848308048.