Least Common Multiple of 82374 and 82378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82374 and 82378 the smallest integer that is 3392902686 that is divisible by both numbers.

Least Common Multiple (LCM) of 82374 and 82378 is 3392902686.

LCM(82374,82378) = 3392902686

LCM of 82374 and 82378

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

LCM of:
and

Least Common Multiple of 82374 and 82378

LCM of 82374 and 82378 is 3392902686

Least common multiple can be found by multiplying the highest exponent prime factors of 82374 and 82378. First we will calculate the prime factors of 82374 and 82378.

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

Prime Factorization of 82378


2 82378
41189 41189
1

Prime factors of 82378 are 2,41189. Prime factorization of 82378 in exponential form is:

82378 = 21×411891

Now multiplying the highest exponent prime factors to calculate the LCM of 82374 and 82378.

LCM(82374,82378) = 21×31×137291×411891
LCM(82374,82378) = 3392902686

Factors of 82374

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

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

Factors of 82378

List of positive integer factors of 82378 that divides 82378 without a remainder.

1, 2, 41189, 82378

Least Common Multiple of 82374 and 82378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82374 and 82378, than apply into the LCM equation.

GCF(82374,82378) = 2
LCM(82374,82378) = ( 82374 × 82378) / 2
LCM(82374,82378) = 6785805372 / 2
LCM(82374,82378) = 3392902686

Properties of LCM 82374 and 82378

(i) The LCM of 82378 and 82374 is associative

LCM of 82374 and 82378 = LCM of 82378 and 82374

Related Least Common Multiples of 82374

Related Least Common Multiples of 82378

Frequently Asked Questions on LCM of 82374 and 82378

1. What is the LCM of 82374 and 82378?

Answer: LCM of 82374 and 82378 is 3392902686.

2. 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.

3. What are the Factors of 82378?

Answer: Factors of 82378 are 1, 2, 41189, 82378. There are 4 integers that are factors of 82378. The greatest factor of 82378 is 82378.

4. How to Find the LCM of 82374 and 82378?

Answer:

Least Common Multiple of 82374 and 82378 = 3392902686

Step 1: Find the prime factorization of 82374

82374 = 2 x 3 x 13729

Step 2: Find the prime factorization of 82378

82378 = 2 x 41189

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

LCM = 3392902686 = 2 x 3 x 13729 x 41189

Step 4: Therefore, the least common multiple of 82374 and 82378 is 3392902686.