Least Common Multiple of 82366 and 82374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82366 and 82374 the smallest integer that is 3392408442 that is divisible by both numbers.

Least Common Multiple (LCM) of 82366 and 82374 is 3392408442.

LCM(82366,82374) = 3392408442

LCM of 82366 and 82374

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

LCM of:
and

Least Common Multiple of 82366 and 82374

LCM of 82366 and 82374 is 3392408442

Least common multiple can be found by multiplying the highest exponent prime factors of 82366 and 82374. First we will calculate the prime factors of 82366 and 82374.

Prime Factorization of 82366


2 82366
41183 41183
1

Prime factors of 82366 are 2,41183. Prime factorization of 82366 in exponential form is:

82366 = 21×411831

Prime Factorization of 82374


2 82374
3 41187
13729 13729
1

Prime factors of 82374 are 2, 3,13729. Prime factorization of 82374 in exponential form is:

82374 = 21×31×137291

Now multiplying the highest exponent prime factors to calculate the LCM of 82366 and 82374.

LCM(82366,82374) = 21×31×137291×411831
LCM(82366,82374) = 3392408442

Factors of 82366

List of positive integer factors of 82366 that divides 82366 without a remainder.

1, 2, 41183, 82366

Factors of 82374

List of positive integer factors of 82374 that divides 82374 without a remainder.

1, 2, 3, 6, 13729, 27458, 41187, 82374

Least Common Multiple of 82366 and 82374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82366 and 82374, than apply into the LCM equation.

GCF(82366,82374) = 2
LCM(82366,82374) = ( 82366 × 82374) / 2
LCM(82366,82374) = 6784816884 / 2
LCM(82366,82374) = 3392408442

Properties of LCM 82366 and 82374

(i) The LCM of 82374 and 82366 is associative

LCM of 82366 and 82374 = LCM of 82374 and 82366

Related Least Common Multiples of 82366

Related Least Common Multiples of 82374

Frequently Asked Questions on LCM of 82366 and 82374

1. What is the LCM of 82366 and 82374?

Answer: LCM of 82366 and 82374 is 3392408442.

2. What are the Factors of 82366?

Answer: Factors of 82366 are 1, 2, 41183, 82366. There are 4 integers that are factors of 82366. The greatest factor of 82366 is 82366.

3. What are the Factors of 82374?

Answer: Factors of 82374 are 1, 2, 3, 6, 13729, 27458, 41187, 82374. There are 8 integers that are factors of 82374. The greatest factor of 82374 is 82374.

4. How to Find the LCM of 82366 and 82374?

Answer:

Least Common Multiple of 82366 and 82374 = 3392408442

Step 1: Find the prime factorization of 82366

82366 = 2 x 41183

Step 2: Find the prime factorization of 82374

82374 = 2 x 3 x 13729

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

LCM = 3392408442 = 2 x 3 x 13729 x 41183

Step 4: Therefore, the least common multiple of 82366 and 82374 is 3392408442.