Least Common Multiple of 82380 and 82386

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 82386 the smallest integer that is 1131159780 that is divisible by both numbers.

Least Common Multiple (LCM) of 82380 and 82386 is 1131159780.

LCM(82380,82386) = 1131159780

LCM of 82380 and 82386

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

LCM of:
and

Least Common Multiple of 82380 and 82386

LCM of 82380 and 82386 is 1131159780

Least common multiple can be found by multiplying the highest exponent prime factors of 82380 and 82386. First we will calculate the prime factors of 82380 and 82386.

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 82386


2 82386
3 41193
3 13731
23 4577
199 199
1

Prime factors of 82386 are 2, 3, 23,199. Prime factorization of 82386 in exponential form is:

82386 = 21×32×231×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 82380 and 82386.

LCM(82380,82386) = 22×32×51×231×1991×13731
LCM(82380,82386) = 1131159780

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 82386

List of positive integer factors of 82386 that divides 82386 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 199, 207, 398, 414, 597, 1194, 1791, 3582, 4577, 9154, 13731, 27462, 41193, 82386

Least Common Multiple of 82380 and 82386 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 82386, than apply into the LCM equation.

GCF(82380,82386) = 6
LCM(82380,82386) = ( 82380 × 82386) / 6
LCM(82380,82386) = 6786958680 / 6
LCM(82380,82386) = 1131159780

Properties of LCM 82380 and 82386

(i) The LCM of 82386 and 82380 is associative

LCM of 82380 and 82386 = LCM of 82386 and 82380

Related Least Common Multiples of 82380

Related Least Common Multiples of 82386

Frequently Asked Questions on LCM of 82380 and 82386

1. What is the LCM of 82380 and 82386?

Answer: LCM of 82380 and 82386 is 1131159780.

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 82386?

Answer: Factors of 82386 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 199, 207, 398, 414, 597, 1194, 1791, 3582, 4577, 9154, 13731, 27462, 41193, 82386. There are 24 integers that are factors of 82386. The greatest factor of 82386 is 82386.

4. How to Find the LCM of 82380 and 82386?

Answer:

Least Common Multiple of 82380 and 82386 = 1131159780

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 82386

82386 = 2 x 3 x 3 x 23 x 199

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

LCM = 1131159780 = 2 x 2 x 3 x 3 x 5 x 23 x 199 x 1373

Step 4: Therefore, the least common multiple of 82380 and 82386 is 1131159780.