Least Common Multiple of 82374 and 82381

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

• Least Common Multiple of 82374 and 82381 by Prime method
• Least Common Multiple of 82374 and 82381 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82374 and 82381. First we will calculate the prime factors of 82374 and 82381.

Prime Factorization of 82374

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

82374 = 2¹×3¹×13729¹

Prime Factorization of 82381

Prime factors of 82381 are 13,6337. Prime factorization of 82381 in exponential form is:

82381 = 13¹×6337¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82374 and 82381.

LCM(82374,82381) = 2¹×3¹×13¹×6337¹×13729¹
LCM(82374,82381) = 6786052494

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 82381

List of positive integer factors of 82381 that divides 82381 without a remainder.

1, 13, 6337, 82381

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82374 and 82381, than apply into the LCM equation.

GCF(82374,82381) = 1
LCM(82374,82381) = ( 82374 × 82381) / 1
LCM(82374,82381) = 6786052494 / 1
LCM(82374,82381) = 6786052494

(i) The LCM of 82381 and 82374 is associative

LCM of 82374 and 82381 = LCM of 82381 and 82374

1. What is the LCM of 82374 and 82381?

Answer: LCM of 82374 and 82381 is 6786052494.

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 82381?

Answer: Factors of 82381 are 1, 13, 6337, 82381. There are 4 integers that are factors of 82381. The greatest factor of 82381 is 82381.

4. How to Find the LCM of 82374 and 82381?

Answer:

Least Common Multiple of 82374 and 82381 = 6786052494

Step 1: Find the prime factorization of 82374

82374 = 2 x 3 x 13729

Step 2: Find the prime factorization of 82381

82381 = 13 x 6337

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

LCM = 6786052494 = 2 x 3 x 13 x 6337 x 13729

Step 4: Therefore, the least common multiple of 82374 and 82381 is 6786052494.